System of Linear Equations: Elimination Method

Rewriting One Equation

100

-7x+y = -19

y = 7x - 19

200

-4x-2y= -12

y = 2x-6

300

x - y = 11

y = x - 11

400

4x+8y = -24

y = -1/2x - 3   OR   y = -0.5x - 3

500

7x + 2y = 24

y = -7/2x + 12   OR  y = -3.5x + 12

Rewriting Two Equations

100

-6x + 6y = 6 

-6x + 3y = -12

y = x + 1

y = 2x - 6

200

x - y = 11

2x + y = 19

y = x - 11

y = -2x + 19

300

3x - 2y = 2

5x - 5y = 10

y = 3/2x - 1   OR   y = 1.5x -1

y = x - 2 

400

7x + 2y = 24

8x + 2y = 30 

y = -3.5x + 12    OR    y = 7/2x + 12 

y = -4x + 15

500

3x + 4y = 11

2x + y = -1

y = -3/4x + 11/4   OR   y= -0.75x + 2.75 

y = -2x - 1

Solving for X (Variable on Both Sides)

100

-20 - 3x = 10 + 2x

x = -6

200

-2 - x = 4 - 2x

x = 6

300

-25 - x = 55 + 3x

x = -20

400

-30 + 4x = x + 15 

x = 15

500

-57 + 2x = 113 - 8x

x = 17

Solving for X (Distributive Property)

100

90 = 3(6x - 6)

x = 6

200

160 = 4(6x - 8)

x = 8

300

-4(-5x + 9) = 164

x = 10

400

-5(-7x + 11) = 260

x = 9

500

252 = -6(-5x + 8)

x = 10

Evaluating for Y

100

Solve for y when x = -3 

y = -3x - 3

y = 6

200

Solve for y when x = 3

y = -5x + 11

x = -4

300

Solve for y when x = -6

y = 1/3x - 4

y = -6

400

Solve for y when x = 8 

y = 7/4x - 3

y = 11

500

Solve for y when x = 4 

y = 7/2x - 5

y = 11