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mr Goodwill [35]
3 years ago
13

How to solve linear equation

Mathematics
2 answers:
ch4aika [34]3 years ago
6 0

Answer:

1.Step 1: Simplify each side, if needed.

2.Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.

3.Step 3: Use Mult./Div. ...

4.Step 4: Check your answer.

I find this is the quickest and easiest way to approach linear equations.

5.Example 6: Solve for the variable.

Nata [24]3 years ago
4 0

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

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2 years ago
Write the slope-intercept form of the equation of each line.
shtirl [24]

Answer:

12) y = -x + 8

11) y = 12x + 22

10) y = 5x - 4

9) y = -2x + 1

8) y = 2x + 9

7) y = 12x - 28

6) y = 1\frac{1}{3}x + 2

5) y = 4x - 2

4) y = x

3) y = 1\frac{2}{5}x - 7

2) y = 2x - 4

1) y = \frac{2}{3}x - 8

Step-by-step explanation:

12)

y - 4 = −(x - 4)

y - 4 = −x + 4

+ 4 + 4

__________

y = -x + 8

_______________________________________________

11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

____________

y = 12x + 22

_______________________________________________

10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

_________

y = 5x - 4

_______________________________________________

9)

y - 5 = −2(x + 2)

y - 5 = −2x - 4

+ 5 + 5

___________

y = -2x + 1

_______________________________________________

8)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

__________

y = 2x + 9

_______________________________________________

7)

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

____________

y = 12x - 28

_______________________________________________

6)

4x - 3y = −6

-4x - 4x

__________

−3y = −4x - 6

___ _____

−3 −3

y = 1\frac{1}{3} + 2

_______________________________________________

5)

4x - y = 2

-4x - 4x

_______

−y = −4x + 2

y = 4x - 2

_______________________________________________

4)

x - y = 0

______

−y = −x

y = x

_______________________________________________

3)

7x - 5y = 35

-7x - 7x

_________

−5y = −7x + 35

___ ______

−5 −5

y = 1\frac{2}{5}x - 7

_______________________________________________

2)

2x - y = 4

-2x - 2x

_______

−y = −2x + 4

y = 2x - 4

_______________________________________________

1)

2x - 3y = 24

-2x - 2x

_________

−3y = −2x + 24

___ _______

−3 −3

y = \frac{2}{3}x - 8

I am delighted to assist you anytime.

5 0
3 years ago
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