How to solve linear equation

Answers

Answer 1

You can use elimination and substitution method

EXAMPLE :

Given :

2x + y = 5

3x - 5y = 1

2x + y = 5 (× -5)

3x - 5y = 1

__________

-10x - 5y = - 25

3x - 5y = 1

____________ _ (elimination)

-13x = - 26

x = - 26/-13

x = 2

Substitution x = 2 to 2x + y = 5 :

2x + y = 5

2(2) + y = 5

4 + y = 5

y = 5 - 4

y = 1


Related Questions

Please help me fast I need to finish!!!!!!

Answers

Answer:

ans: The line passes through the point (0,13)

Step-by-step explanation:

(0,13) is Y-intercept

Answer:

The answer is C the line passes through (0,13)

Step-by-step explanation:

Each scatter plot below shows the same data.

Which scatter plot has the most reasonable line of best fit?

Answers

Answer:

bottom right corner

Step-by-step explanation:

Answer:

Step-by-step explanation:

Scatter plots' primary uses are to observe and show relationships between two numeric variables. ... Relationships between variables can be described in many ways: positive or negative, strong or weak, linear or nonlinear. A scatter plot can also be useful for identifying other patterns in data.

How many points of intersection are there between the graphs of the hyperbola and ellipse?
3x2 – 4y2 + 4x – 8y +4= 0
3x2 + y2 + 4x – 3y +4= 0
A.0
B. 1
C. 3
D.4

Answers

The point of intersection is the point where two or more functions meet.

The graphs of the hyperbola and ellipse have 0 point of intersection

The given parameters are:

[tex]\mathbf{3x^2 - 4y^2 + 4x - 8y + 4 = 0}[/tex]

[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 0}[/tex]

To determine the points of intersection, we simply equate both equations.

So, we have:

[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 3x^2 - 4y^2 + 4x - 8y + 4 }[/tex]

Cancel out the common terms

[tex]\mathbf{y^2 - 3y = - 4y^2 - 8y }[/tex]

Collect like terms

[tex]\mathbf{y^2 +4y^2= 3y - 8y }[/tex]

[tex]\mathbf{5y^2= - 5y }[/tex]

Divide through by 5

[tex]\mathbf{y^2= - y}[/tex]

Divide through by y

[tex]\mathbf{y= -1}[/tex]

The system of equation does not give room to calculate the x-coordinate at the x-axis.

Hence, the graphs of the hyperbola and ellipse have 0 point of intersection

Read more about points of intersection at:

https://brainly.com/question/13373561

Answer: 0

Explanation: Took the test

(-8)–(-13)? Answer plz

Answers

Answer:

5

Step-by-step explanation:

(-8)-(-13)= 5

5. Multiply -1 by negative 13 equals +13. So _8+13. Equals 5 hope this helps

What is the slope of a line which passes through points (-7,2) and (21,-10)?

Answers

Answer:    slope =  - ³/₇ Step-by-step explanation:    

The question gives us two points,  (-7,2) and (21,-10), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                        =  (2 - (- 10)) ÷ (-7 - 21)    

                                        =   - ¹²/₂₈

                                        =   - ³/₇

Checking my answer:  

We can use the slope we found and a point to write the equation of a line. If the line passes through both points, then we calculated the slope correctly.  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y + 10 = - ³/₇ (x - 21)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Simplify 3c-9d+7c+5d

Answers

Answer:

10c - 4d

Step-by-step explanation:

Hey there,

Combine like terms

3c - 9d + 7c + 5d

3c + 7c - 9d + 5d

= 10c - 4d

Hope this helps you.

Let me know if you have any other questions :-)

is the square root of 23 rational or irrational

Answers

It is irrational because it’s not terminating (please hit “thanks”
It’s irrational because it is not terminating and is a prime number………………. :)

Help

Dealing with corresponding write reasons as well pls

Answers

Answer:

X=60°

Step-by-step explanation:

A1=100° vertically opposite angles

100°=2x-20°

120°=2x

X=60°

name two pairs of perpendicular lines

Answers

Answer:

AC is perpendicular to CD, and DB is perpendicular to AB

Which two functions always Which two functions always share the domain (-∞, ∞) and range (-∞, ∞)?
linear
absolute value
quadratic
exponential
reciprocal
cubic
cube root
square root

Answers

Answer:

Linear.

Cubic.

Step-by-step explanation:

Two functions always share the domain (-∞, ∞) and range (-∞, ∞) are linear and cubic.

What is domain?

" Domain is defined as the set of all input values in the given function."

What is range?

" Range is defined as the set of all output values in the given function."

According to the question,

For linear function we can put all the real numbers for the independent variable 'x' that is ( -∞ , ∞).

Domain of a linear function = ( -∞ , ∞).

Output values of the linear function is set of all real numbers (-∞,∞).

Range of a linear function = (-∞,∞).

For cubic function

Cubic function is an odd polynomial . One end extends to +∞ and other end to -∞.

Domain and range of cubic function (-∞,∞).

Hence, two functions always share the domain (-∞, ∞) and range (-∞, ∞) are linear and cubic.

Learn more about domain and range here

https://brainly.com/question/1632425

#SPJ2

A parachutist's speed during a free fall reaches 55 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers

Answers

Explanation:

Explanation:50 m ≅164 ft (3s.f.)

Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/s

Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:

Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:d=164 ft/s ⋅20s

Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:d=164 ft/s ⋅20s=3280 ft

follow me

Identify the property that is used in each statement.
HELP ME PLEASE DUE IN 15 minutes!!!??

Answers

Answer:

65

Step-by-step explanation:

2000000000+2000000000

Answers

Answer:

its 4000000000

Step-by-step explanation:

add numbers

Answer:

2000000000+2000000000= 4000000000

To join the school swim team, swimmers must be able to swim at least 480 yards

without stopping. Let n represent the number of yards a swimmer can swim without

stopping. Write an inequality describing which values of n will result in a swimmer

making the swim team.

a)

nis greater than or equal to 480

b) n is less than or equal to 480

n is greater than 480

d)

n is less than 480

Answers

Answer:

A) n is greater than or equal to 480.

Step-by-step explanation:

The keyword "at least" means greater than or equal to.

Rút gọn biểu thức √81a^6b^2

Answers

Answer:

English.........plzpzl

You are given that a = 6.54 (to 3 significant figures) and b = 123 (to 3 significant figures).
Calculate upper and lower bounds for each of the following, give your answers to 3 significant figures:
(a) a + b
(b) ab
(c) a/b
(d) b - 1/a

Answers

The upper and lower bounds for the numbers are illustrations of approximation

How to calculate the upper and lower bounds

The numbers are given as:

a = 6.54 (to 3 significant figures)

b = 123 (to 3 significant figures)

(a) a + b

We have:

a + b = 6.54 + 123

a + b = 129.54

When approximated, the bounds to three significant digits are:

Lower bound = 129

Upper bound = 130.1

(b) ab

We have:

ab = 6.54 * 123

a + b = 804.42

When approximated, the bounds to three significant digits are:

Lower bound = 804

Upper bound = 805

(c) a/b

We have:

a/b = 6.54/123

a/b = 0.0531707317

When approximated, the bounds to three significant digits are:

Lower bound = 0.0531

Upper bound = 0.0532

(d) b - 1/a

We have:

b - 1/a = 123 - 1/6.54

b - 1/a = 122.847094801

When approximated, the bounds to three significant digits are:

Lower bound = 122

Upper bound = 123

Read more about approximation at:

https://brainly.com/question/10171109

Find the value of the expression if x = 2.1, z = -4.2 and b = -3.

|2x−z|+6b

Answers

Answer:

[tex]{ \tt{ |2x - z| + 6b}} \\ \\ \dashrightarrow \: { \tt{ |2(2.1) - ( - 4.2)| + 6( - 3) }} \\ \\ \dashrightarrow \: { \tt{ |8.4| - 18 }} \\ \\ { \boxed{ \boxed{ \tt{ \dashrightarrow \: \: - 9.6 \: \: }}}}[/tex]

8 meters o om 16 meters

Answers

Answer:

2

Step-by-step explanation:

It would be 2 because 16 divided by 8 is 2

Put y + 3 = -3(x + 2) in slope-intercept form.

Answers

Answer:

[tex]y + 3 = - 3(x + 2) \\ y + 3 = - 3x - 6 \\ y = - 3x - 9[/tex]

Answer
It’s -3x -9
Explanation

Point L is on line segment

K

M

‾

KM

. Given

L

M

=

2

LM=2 and

K

M

=

19

,

KM=19, determine the length

K

L

‾

.

KL

.

Answers

Answer:

k is the option that makes sense

Yolanda ran three times last week. Here are the distances she ran (in kilometers).
3.99, 10, 6.4
What is the total distance Yolanda ran on these three days?

Answers

Answer:

20.03

Step-by-step explanation:

distance ran For 1st day+distance ran For 2nd day+distance ran For 3rd day.

3.99+10.6.4=20.03

Type the correct answer in the box. Use numerals instead of words.
What value of n makes the equation true?
COIN
312
= -12
n=

Answers

Answer:

what i dont understand how does 312=-12

Step-by-step explanation:

helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee​

Answers

28, b. Parallel

29, d. Infinite

30, c. Intercepting

Find the measure of the marked angles.
The measure of the angles is
___ degrees

Answers

Answer:

43 degrees

Step-by-step explanation:

The angles are vertical angles. All vertical angles are congruent meaning that these 2 expressions can be set equal to each other. Then, solve for x and finally plug x back in to get the answer.

First, set of the equation

(4x+19)=(6x+7)

Then, subtract 7 from both sides

4x+12=6x

Next, subtract 4x both sides

12=2x

Finally, divide both sides by 2

x=6

Now, we can plug 6 into the expression given to show that both angles are 43 degrees.

27 is 45% of what number?

Answers

Answer:

60%

Step-by-step explanation:

The first step is to divide 27 by 45 to get the answer in decimal form:

27 / 45 = 0.6000

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.6000 * 100 = 60.00%

60

Step-by-step explanation:

If you take 45 percent of a number and get 27, then what is that number? In other words, you know that 45 percent of a number is 27 and you want to know what that initial number is.

To solve this problem you multiply 27 by 100 and then divide the total by 45 as follows: (27 x 100) / 45

When we put that into our calculator, we get the following answer:

60

Therefore, the answer to "27 is 45 percent of what number?" is 60, and you can also derive that 45 percent of 60 equals 27.

Hope it helps

Have a good day!

What are the coordinates of the office? Enter the coordinates like this: (x,y) without any spaces. *

Answers

Answer:

Step-by-step explanation:

(6,9) it think its that

Sofia received a payment of $ 145 to take care of her neighbor Carmen's dogs for 5 days. Every day, the neighbor Carmen was paying him 6 dollars more than the day before. How much money did Sofia earn on the third day of work?
it is a problem of equations
please help me

Answers

Answer:

you betrayed me and i know that youll never feel srry

Step-by-step explanation:

Help help help please help

Answers

[tex] \frac{ {8}^{4} }{8 {}^{2} } \times 8 {}^{3} [/tex]

Cancel the fraction to simplify it.

[tex]8 {}^{2} \times 8 {}^{3} [/tex]

Calculate the product

[tex]8 {}^{5} [/tex]

Hope it helps...

Please help!!!
Which table represents a linear function?

Answers

Answer:

it should be D

Step-by-step explanation:

answer is D hope this helped could you make me brain pls too

Find the solution of the system of equations
8x + 7y = 47
-4x - 5y = -25

Answers

Answer:

x,y = 5,1

Step-by-step explanation:

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