DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is

DIG DEEPER! Solve The2x Y + 3z = -1x + 2y - 4z = -1y -- 2z = 0The Solution Is

Answers

Answer 1

Answer:

x = - 1, y = 2, z = 1

Step-by-step explanation:

Given the 3 equations

2x - y + 3z = - 1 → (1)

x + 2y - 4z = - 1 → (2)

y - 2z = 0 → (3)

Add (1) and (3) term by term

2x + z = - 1 → (4)

Multiply (1) by 2

4x - 2y + 6z = - 2 → (5)

Add (2) and (5) term by term

5x + 2z = - 3 → (6)

Multiply (4) by - 2

- 4x - 2z = 2 → (7)

Add (6) and (7) term by term

x = - 1

Substitute x = - 1 into (4)

- 2 + z = - 1 ( add 2 to both sides )

z = 1

Substitute x = - 1, z = 1 into (2)

- 1 + 2y - 4 = - 1

- 5 + 2y = - 1 ( add 5 to both sides )

2y = 4 ( divide both sides by 2 )

y = 2

solution is (x, y, z ) = (- 1, 2, 1 )


Related Questions

I NEED HELP! what shape is symmetry ?

Answers

Answer:

E, the heart

Step-by-step explanation:

Answer:

The heart

Step-by-step explanation:

It is able to flip and still look the same

Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.

The total of their ages is less than 40.

What is Abigail’s greatest possible age?
Give your answer as a whole number of years.

Answers

Answer:i i think Brenda 10

Step-by-step explanation:

Age problems are the algebra word problem which deals with the ages of people in the present time.

Given information-

Abigail is 5 years older than Brenda.

Brenda is twice as old as Carly.

The total of their ages is less than 40.

Age problems

Age problems are the algebra word problem which deals with the ages of people in the present time.

Suppose Abigail is A, Brenda is B and Carly is C years old.

As Abigail is 5 years older than Brenda. Thus,

[tex] A=B+5[/tex]                .... 1

As Brenda is twice as old as Carly. Thus,

[tex]C=\dfrac{B}{2} [/tex]                    ..... 2

As the total of their ages is less than 40.

[tex]A+B+C=40[/tex]

Keep the values of A and C from the equation 1 and 2 in the above equation,

[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]

Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,

[tex]A=14+5\\ A=19[/tex]

Thus the Abigail is 19 year old.

Learn more about the age related problem here;

https://brainly.com/question/91727

which ratio is same as 2/3

Answers

6:15:2 is the same as 2:3

The ratio 4/6 is the same as 2/3 because they have the same proportion.

To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.

1. Multiplying by the same number:

  If you multiply both the numerator and the denominator of 2/3 by 2, you get:

= (2 × 2) / (3 × 2)

= 4/6

So, the ratio 4/6 is the same as 2/3.

2. Dividing by the same number:

  Divide both the numerator and the denominator of 2/3 by 3, you get:

= (2 ÷ 3) / (3 ÷ 3)

= 2/3

So, the ratio 2/3 remains the same.

In conclusion, the ratio 4/6 is the same as 2/3.

Learn more about Ratio here:

https://brainly.com/question/32531170

#SPJ6

1. y = 5x + 2, (2,7)

Answers

y=5x−2 , y=−2x+5

Eliminate the equal sides of each equation and combine.

5x−2=−2x+5

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

7x−2=5y=−2x+5

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

7x=7y=−2x+5

Divide each term by

7

and simplify.

Tap for more steps...

x=1y=−2x+5

Replace all occurrences of x in y=−2x+5 with 1.

x=1y=−2⋅1+5

Simplify −2⋅1+5.

Tap for more steps...

x=1y=3

The solution to the system of equations can be represented as a point.(1,3)

The result can be shown in multiple forms.

Point Form:(1,3)

Equation Form:

x=1,y=3

Write the slope-intercept form of the equation that is described below.

Through (-3, 3) and parallel to y = 1/3x + 5

Answers

Final Answer: [tex]y = \frac{1}{3}x + 4[/tex]

Steps/Reasons/Explanation:

There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.

Step 1: Substitute slope from the original line ([tex]\frac{1}{3}[/tex] in this case) into the slope-intercept equation.

[tex]y = \frac{1}{3}x + b[/tex]

Step 2: Substitute the given point [tex](-3, 3)[/tex] into the x and y values.

[tex]y = \frac{1}{3}x + b[/tex]

[tex]3 = \frac{1}{3}(-3) + b[/tex]

Step 3: Solve for b (the y-intercept).

[tex]3 = \frac{1}{3}(-3) + b[/tex]

[tex]3 = -1 + b[/tex]

[tex]+1[/tex] = [tex]+1[/tex] [tex]+[/tex] [tex]b[/tex]

[tex]4 = b[/tex]

Step 4: Substitute this value for b in the slope-intercept form equation.

[tex]y = \frac{1}{3}x + 4[/tex]

~I hope I helped you :)~

Answer:

y = 1/3x + 5

Step-by-step explanation:

(-3, 3)

x  ,  y

x1 = -3

y1 = 3

The formula we will use is y - y1 = m ( x - x1)

We will now replace y1 and x1 with the coordinate points (-3, 3).

We will keep x1 = -3, and y1 = 3.

then you will plug in the numbers giving you an equation like:

y - (3) = 1/3 (x -(-3))

y - 3 = 1/3 (x + 3)

y - 3 = 1/3x +1

  + 3          + 3

y = 1/3x + 4

I am 100% sure I am correct.

If you want free answers to your questions you can use math

way, which is  a free website

It gives you FREE answers to math problems and they are always reliable.

I always use it to check my answers as I did with this problem too you may go there to check my answer if you would like just type in y = 1/3x + 5 , (-3, 3)

then when options pop up select parallel, because you want to solve for a parallel line.

I hope I helped you a lot and my answer is correct.

Please mark me as brainliest and have a good day!

I need the measure of angle 1

Answers

Answer:

Angle 1 is 69°

Step-by-step explanation:

9x + 66 = -9x + 156

9x + 9x = 156 - 66

18x = 90

18x/18 = 90/18

x = 5

-9x + 156

-9(5) + 156

-45 + 156

111

180 - 111 = 69.

pls pls pls pls help

Answers

Bird is the first choice and fish is the first as well

Will give crown help

Answers

Answer:-8,-2,4,10

Step-by-step explanation:

BRAINLIEST

Which two expressions are equivalent for any value of y?
Group of answer choices

A. 3(3y + 3) and 6y + 6

B. 3(3y + 3) and 9y + 6

C. 9(y + 3) and 12 + 9y

D. 9(y + 3) and 27 + 9y

Answers

B and D because when solved they have the same beginning values

Give the equation in slope intercept form for each representation. Tell me if you can’t see the pic at the top.

Answers

QUESTION 5:
M : -2.75
B : 1
equation : y = 2.75x + 1

QUESTION 6:
M : 1.3
B : -2
equation: y = 1.3x -2

QUESTION 7:
M : 0.5
B : 4
equation : y = 0.5x + 4

i couldn’t see 8 all the way but i hope this helped !! <3

What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8

Answers

Answer:

D) g(x) = 2x-8

Step-by-step explanation:

Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5, 0.5) into 0.2x + 2y = 0 to get . Simplify the above equations to get

Answers

Answer:

Substitute (–5, 0.5) into x – 4y = –7 to get  

✔ –5 – 4(0.5) = –7

.

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

✔ 0.2(–5) + 2(0.5) = 0

.

Simplify the above equations to get  

✔ –7 = –7 is true and 0 = 0 is true; a solution.

Step-by-step explanation:

PLEASE MARK BRAINLIEST!!!!!!!!!!!

(–5, 0.5) a solution of the system of equations.

What is a system of equations?

A system of equations is a set or collection of equations that you deal with all together at once.

Given are the equations, x – 4y = –7 and 0.2x + 2y = 0;

Substitute (–5, 0.5) into x – 4y = –7 to get  

–5 – 4(0.5) = –7

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

0.2(–5) + 2(0.5) = 0

Simplify the above equations to get  

–7 = –7 and 0 = 0 is true

Hence, (–5, 0.5) a solution of the system of equations.

For more references on the system of equations, click;

https://brainly.com/question/24065247

#SPJ2

In a party Tom paid $540 including the cake and drink for his friend the cost of a person attending the party is $15 the cost of cake and drinks are $75 and $90 respectively find the number of friends that attended the party

Answers

3 people.
15+75+90=180
540/180=3

is this table a function? why or why not?

Answers

No. There has to be only one output for each input. Because the number two is an input twice and has two different outputs, this can not be a function
no because 2 has two different inputs

6 of 12
Write in index form
(-4) × (-4) × (-4) x (-4) × (-4) x (-4)

Answers

Given:

The expression is

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]

To find:

The index form of given expression.

Solution:

Index form is the exponent form, it means, the number is represented in power of a number.

We have,

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]

Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]

Therefore, the index form of given expression is [tex](-4)^6[/tex].

Please answer these questions I will mark brainliest

Answers

1. C

2. A

3. A

i’m pretty sure for 1,2. 3 i’m a little iffy but i think it’s A bc “homogenizing”

NEED HELP ASAP!!!!!!!

Answers

x=45

Why?

Becuz this triangle relies on 180 degrees. So 180-170= 10
10+125=135
180-135=45

Use the number line to find
0+(
8
19
14
0
19
8
OI-2
21
8

Answers

Answer:

put it right in between the 0 and 0.5

Step-by-step explanation:

Answer:

- 19/8 hope you got it right

a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour

Answers

Answer:

5 inches per hour

Step-by-step explanation:

Answer:

1.5 inches per hour

Step-by-step explanation:

Write the equation in point-slope form of the line that contains the points (3,-5) and (5,- 1)

Answers

Answer:

y+5=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

The linear function passing through points  (3,-5) and (5,- 1) is given by:

y = 2x+ 13.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

For this problem, the two points that form the function are given as follows:

(3,-5) and (5,- 1)

The slope is given by change in y divided by change in x, hence it is given by:

m = (y₂-y₁)/ (x₂-x₁)

m = (-1+5)/(5-3)

m = 4/2

m = 2

Then:

y = 2x + b.

When x = 3, y = -5, hence we can find the intercept b of the function as follows:

3 = 2 x -5 + b

b = 3+ 10

b = 13

Hence the equation is:

y = 2x+ 13

More can be learned about linear functions :

brainly.com/question/24808124

#SPJ2

Egghead Egghead Egghead

Answers

Answer:

the first one is an egghead, gordon ramsey is not an egg

Step-by-step explanation:

Line z has a slope of 2.5 and goes through points (4,13) . Which equation best represents line z?

A y=2.5x-23
B y=2.5x+23
C y=2.5x+3
D y=2.5x- 28.5

Answers

Answer:

C. y=2.5x+3

Step-by-step explanation:

Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?

Answers

Step-by-step explanation:

A. Where do you see circles and semicircles in the world around you?

1. Ring.

2. Earing

3. Coin

4. Hockey puck

5. Car tyre

6. Dartboard

7. Wreath

8. Plate

9. Hula hoop

10. Mercedes logo

11. Bass drum

12. Drain

B. Why could finding the area or circumference be helpful?

Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them

Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70

Answers

yes, the answer is D
Ur answer would be D

Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).

Answers

Step-by-step explanation:

Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.

Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.

Hence the equation is y + 5 = -2/3 * (x - 4). (B)

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. \,<\sqrt{32}<\,< 32 ​

Answers

Answer:

Could you retype the equation so it isn't jankey?!

Step-by-step explanation:

transversals angles​

Answers

3 or in this case the answer is C

the answer of your question is angle 3

Help will give crown

Answers

Answer:

8

Step-by-step explanation:

from A to B it's 8 units long

Please help! asap ill brainlist you :(


At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.

Answers

Answer:

5

Step-by-step explanation:

hope this helps!!!

Which number line shows the points −125 and –2.8?

Answers

You didn’t send a picture so we can’t tell
Other Questions
If you ask a question will the points given ne deducted from your points How are the three intermolecular forces related? Pleaseeeee help me anyone !!!!!!!!!!!! Will mark Brianliest answer correctly which one of these is a rational numberA. square root of 9/2B. square root of 13/16C. square root of 34 D. square root of 49 Determine if the statement is true or false.The attempted assassination of President Teddy Roosevelt caused so much public outrage that the insanity defense was greatly restricted. what is widow marriage What is the slope of the line do the point for me to? Which of the following is an example of linear multimedia A virus is nothing more than: A. A fancy bacteria B. Completely independent organisms C. A fragment of DNA in a protective coat D. Simple-celled organisms HELP PLEASE THIS IS DUE TODAY 50 POINTS An income statement reports information over a period of time, indicating the financial progress of a business in earning a net income or net loss. (PG 182) Write an equation in slope-intercept form which has a slope of 1/4 and crosses the -axis at (0,7) PLS HELP ASAP! Staphylococcus aureus, or staph, is a bacteria that is commonly found in the nose and on the skin of humans. While it is typically not harmful to humans, it is sometimes able to enter the body through an injury or broken skin, and get into the bloodstream. When this happens, it can cause a serious infection called sepsis. Sepsis can cause an individual to go into shock and bodily organs to stop functioning. Symptoms of sepsis include inflammation, fever or hypothermia, increased heart rate, and rapid breathing.A microscopic image of staphylococcus aureus is shown.Which immune system component initially results in the inflammation and responds quickly when Staphylococcus aureus enters the bloodstream?complement systemphagocytesLangerhans cellsB lymphocytesMark this and return What is the slope of the line whose equation is: y = 2/5x - 5? I NEED A ANSWER FAST which of the following best describe the impact of Rosetta Stone 1) it helped us translate from Greek to English 2) it was the first time we saw ancient Egyptians hieroglyphs 3) it told us the history of the ancient Egyptian civilization 4) it helped us translate ancient Egyptian hieroglyphs for the first time in history Please help me with this!! Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectngulo que tiene como permetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud. These points are linear. Find the slope. At which age did a man complete his service to the Spartan military?a 36b 60c 21d 49pls answer and ill give you 5 stars if you have a decent explanation.HAVE A GREAT DAY! THX