Solve the system of equations without graphing. Show your reasoning.

2y=x−4
4x+3y=5

Answers

Answer 1

[tex]\displaystyle \begin{cases} 2y=x-4 \\4x+3y=5 \end{cases } \Rightarrow \ominus \left \{ {{x-4=2y} \ | \cdot 4 \atop {4x+3y=5}} \right. \Rightarrow \\\\\\ 4x-16-4x-3y=8y-5 \\\\ -3y-16=8y-5 \\\\ -3y-8y=16-5 \\\\-11y=11 \\\\ y=-1 \ \ ; \ \ x=2y+4=2 \\\\ \rm Answer : \ (2 \ ; \ -1 )[/tex]


Related Questions

Write this ratio as a fraction in lowest terms.
70 minutes to 60 minutes

Answers

ANSWER:

10 MINUTES

EXPLANATION:

BECAUSE IF YOU SUBTRACT 70 AND 60 THE ANSWER WILL BE 10.

7060=10

HOPE IT HELPS YOU

70 min to 60 min. divide both by 10. the lowest terms you can get for this answer would be 7 min to 6 min. i hope this helps !

HELPPPPP plsssss i need this answer ASAP

Answers

Answer:

0.05 in decimal form or 1/20

Step-by-step explanation:

Since there are 20 blocks, we are going to divide 1 by 20.

Result: 00.5

To get it in fraction form we are going to multiply 1/4 by 1/5 and get 1/ 20 because 4 x 5 = 20. There is no way to simplify this.

Therefore, your answer would be 1/20.

-kiniwih426

PLEASE HELP!!! WORTH 20 POINTS!
For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler. Use fractions, not decimals, and make sure to simplify all fractions.

Answers

Answer:

a. 1 1/2 (or 3/2)

b. 2/3

c. 1

d. 1

Step-by-step explanation:

Part A: (1,1) (7,5)

To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).

Let's plug in the numbers for part a:

m=(7-1)/(5-1)

Let's then solve the problems inside the parentheses:

m=6/4

And finally, we simplify:

m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)

For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.

Part B: (1,1) (5,7)

m=(5-1)/(7-1)

m=(4/6)

m=2/3

Part C: (2,5) (-1,2)

m=(-1-2)/(2-5)

m=(-3/-3)

m=1

Part D: (2,5) (-7,-4)

m=(-7-2)/(-4-5)

m=(-9/-9)

m=1

Please help. I struggle with geometry

Find the measures of angle 1 and angle 2. State the theorem or postulate that justifies your answer,

Answers

Answer:

Angle 2 = 55

Angle 1 = 125

Step-by-step explanation:

Considering the line vertical lines are parallel:

Angle 2 and angle with measure of 125 are supplementary and their sum is = 180

So m<2 = 180 - 125 = 55

For angle 1:

Again since the vertical lines are parallel:

Angle 1 and angle with given measure 125 are alternate and has same measurement.

Answer:

Angle 2= 55 degrees

angle 1= 125 degrees

Step-by-step explanation:

Angle 2 uses SA, 180-125=55

angle 1 is parallel to the 125 degree line

11=-5x-2 plzzzzzzzzzz help...

Answers

Answer:

-5x-2=11

+2

-5x=9

÷-5

x=1.8

Step-by-step explanation:

Answer:

x = -2.6

or x=-2 and 3/5

Step-by-step explanation:

Simplifying

11 = -5x + -2

Reorder the terms:

11 = -2 + -5x

Solving

11 = -2 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.

11 + 5x = -2 + -5x + 5x

Combine like terms: -5x + 5x = 0

11 + 5x = -2 + 0

11 + 5x = -2

Add '-11' to each side of the equation.

11 + -11 + 5x = -2 + -11

Combine like terms: 11 + -11 = 0

0 + 5x = -2 + -11

5x = -2 + -11

Combine like terms: -2 + -11 = -13

5x = -13

Divide each side by '5'.

x = -2.6

Simplifying

x = -2.6

Which one of the following values of k makes the trinomial 9x^2 + kx + 64 a perfect square

a 24
b 48
c 16
d 42

Answers

Answer:

it is C 16

Step-by-step explanation:

x² - kx + 64

Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors: √64 = 8

So, the factors are: (x - 8)(x - 8)

 Foil (or distribute) to get: x² - 16x + 64 The k-value is 16

Show a different way to solve 25 x 28

Answers

Answer:

700=25x28

Step-by-step explanation:

The product of the two given numbers is 700.

The given expression is 25 × 28.

We need to find the product of these two numbers in different ways.

What is the distributive property of multiplication?

The distributive property of multiplication over addition states that multiplying the sum of two or more addends by a number gives the same result as multiplying each addend individually by the number and then adding the products together. This property of multiplication over addition is used when we need to multiply a number by a sum.

Now, direct multiplication 25 × 28=700

Using distributive property we get 25 × (20+8)

=25 × 20 + 25 × 8

=500 + 200

=700

Therefore, the product of two given numbers is 700.

To learn more about the distributive property visit:

https://brainly.com/question/13130806.

#SPJ2

BY which rule are these triangles congruent?

Answers

ANGLE-ANGLE-SIDE(AAS)

Step-by-step explanation:

The [tex]\huge{\triangle}[/tex]JGH and [tex]\huge{\huge{\triangle}}[/tex]MNK are congruent by the rule of Area-area-side (AAS)

Find the equation of the line passing through the points (-3,8) and (3,-4). Write the
equation in slope-intercept form.

Answers

Answer:

y = -2x + 2

Step-by-step explanation:

(-4-8)/(3-(-3)) = -12/6 = -2

-4 = -2(3) + b

-4 = -6 + b

b = 2

need help please thanks

Answers

Answer:

the answer is Bca because it creates a figure

to solve the equation 7.5d=2.5d , Lin divides each side by 2.5d,elena subtracts 2.5d from each side.​

Answers

Lin is correct, elena will have a wrong answer

Line m has a Slope Of -4/7 .Line n is perpendicular to m .What is the slope of line n?

Answers

Answer:

7/4

Step-by-step explanation:

x and y are exchanged for each other, and the sign is flipped.

f(x)=

3x+10
f(5t)=

Answers

I think it’s -3x/5t+2/t

Answer:

[tex]15t+10[/tex]

Step-by-step explanation:

We can plug in for [tex]5t[/tex] into [tex]f(x)[/tex]!

[tex]f(5t)=3(5t)+10=\boxed{15t+10}[/tex]

please help me with this please

Answers

Answer:

21

Step-by-step explanation

3 Units x 7 Units = 21 Square Units

hi need helps with this pls

Answers

Answer:

As shown in the attachment,

Step-by-step explanation:

How many solutions does the equation have?

Answers

Answer:

Infinitely many

Step-by-step explanation:

They both equal the same equation

Answer:

All real numbers are solutions.

Step-by-step explanation:

4(z−5)+2=4z−18

Step 1: Simplify both sides of the equation.

4(z−5)+2=4z−18

(4)(z)+(4)(−5)+2=4z+−18(Distribute)

4z+−20+2=4z+−18

(4z)+(−20+2)=4z−18(Combine Like Terms)

4z+−18=4z−18

4z−18=4z−18

Step 2: Subtract 4z from both sides.

4z−18−4z=4z−18−4z

−18=−18

Step 3: Add 18 to both sides.

−18+18=−18+18

0=0

34500002650 in standard form 2 significant figures

Answers

Answer:

35000000000

Step-by-step explanation:

i used a calculator hope this helps


7x + 3x - 18 = 6(x + 3)

Answers

Answer:

x=9, therefore 72=72

Step-by-step explanation:

I just distributed.

Answer:

x = 9

Step-by-step explanation:

7x + 3x - 18 = 6(x + 3) ← distribute parenthesis by 6

10x - 18 = 6x + 18 ( subtract 6x from both sides )

4x - 18 = 18 ( add 18 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Given the system of equations, what is the solution?

2x + y = 7
2x - 3y = -1

Answers

Answer:

[tex](\frac{5}{2}, 2)[/tex]

Step-by-step explanation:

Hi there!

We are given this system of equations:

2x + y = 7

2x - 3y = -1

And we want to find the solution

There are multiply ways to solve systems of equations, but let's solve this one by elimination, where we will add the two equations together to clear one of them, solve for the un-cleared variable, and then use the value of the un-cleared variable to solve for the cleared one

Before clearing a variable, we need to make sure that the signs on the variables are opposites; for example, -3 and 3, which will add together to get 0

We can multiply the equations beforehand if needed in order to manipulate the numbers.

For example, we can multiply the second equation by -1 in order to switch the signs of each number in that equation:

-1(2x-3y=-1)

-2x+3y=1

Now the signs in front of x are 2 and -2, so we can add the equations together to clear them:

2x + y = 7

-2x + 3y = 1

Add the equations together

4y = 8

Divide both sides by 4

y=2

Now let's use 2 as y to solve for x

In the first equation, substitute 2 for y:

2x + 2 = 7

Subtract 2 from both sides

2x = 5

Divide both sides by 2

[tex]x=\frac{5}{2}[/tex]

As a point, the answer is [tex](\frac{5}{2}, 2)[/tex]

Hope this helps!

Find the slope of the line between the points (1,-5) and (3, 9).

Answers

Answer:

one seventh or, 1/7

Step-by-step explanation:

first, rise is always over the run, so

x2(3)-x1(1)

_____

y2(9)-y1(-5)

M= 7

The slope of the line connecting (1, -5) and (3, 9) is 7


Hope this answers your question

Find the slope and y-intercept of the graph of the linear equation.

y+3=2/3x

Answers

Answer:

Slope: 2/3

y-intercept: -3

Step-by-step explanation:

Subtracting both sides of the equation by 3 to make it in 'y=mx+c' form:

y + 3 - 3 = 2/3x - 3

y = 2/3x - 3

Seeing this,

m = 2/3

c = -3

Since m is the slope, the slope is 2/3

Since c is the y-intercept, the y-intercept is -3

Hope this helps and have a wonderful time ahead at Brainly! :D

y = 3 x ² + 1 , if the input is 4 , what us the output

Answers

Answer:

the out put would be 49

Step-by-step explanation:

candice king is candice king

Your business is looking into three contracting firms. Based on previous research, there is a
75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2
will earn you $60,000. Company 3 has a 30%chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect
after this deal is done if you sign with all 3 companies?
$21,000 profit
$21,000 loss
$81,000 profit
$81,000 loss

Answers

Answer:21,000 profit

Step-by-step explanation:


5. Two more than a certain number is 15 less than the product of 7/8 and the number.
a. Equation:
b. Solution:

Answers

I think it’s a. I’m not sure

Whats 9+10+823+636+0

Answers

Answer:

1478 is the answer

have a fang-tastic day <3

Step-by-step explanation:

Answer:

1478

Step-by-step explanation:

lol have a good day/night!!

What is 1 minus 1 divided by 5

Answers

Answer:

0.8

Step-by-step explanation:

Remember PEMDAS

1-1:5=

1-0.2=

0.8

3. Describe and correct the error

Answers

Last step and chart are timeline are wrong

The x variable has to be in the left side
So instead of -33
Notice the negative 3 turns positive since it flipped sides and so did the greater/less than sign

Now since the resulting number has changed so will the timeline
Instead of being located at -3, x will now be at 3 and go in the right direction

Write the equation of the line in slope intercept form.

Help!!!!!!!

(-8,10); m=1/2

Answers

Answer:

y=1/2x+14

Step-by-step explanation:

If you mark (-8,10) in a graph and go up 1, over 2, then you will eventually get to (0,14).

You can also use the slope formula in reverse. 1/2=b-10/0-(-8)

1/2=b-10/8, then multiply both side by 8

4=b-10, add 10 to both sides

14=b

Nicole can run 4
laps in 2/5 hour.
How long will it
Hake her to run 5
laps?

Answers

Answer:

15 minutos or

⁵/¹⁰ hour......

Step-by-step explanation:

ñññññññññlñ

Answer:

1/2 hour

2/5=4

x=5

Then cross-multiply

4x=2

x=1/2

Plz help it’s due tonight!!!

Answers

b b b b b b b b b b b b b
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