Systems of Equations Elimination Steps

Before you begin:

Remember to LOOK FOR THE VARIABLES THAT WILL ELIMINATE TO EQUAL ZERO.

1. Line them up and look for the zero pair. If you need to, MULTIPLY to make a zero pair.

2. 2. ADD the equations.

3. 3. SOLVE for the variable. (find x= or y=)

4. 4, Find the OTHER variable. Substitute the x= or y= you found in step #3.

"TYPE YES" when you have read the steps.

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Which variable do you add to ELIMINATE (equal zero)?

• the x variables will equal zero

• the y variables will equal zero

• the numbers without variables will equal zero

• What's a variable?

Solve the system of linear equations 
5x - 3y = -36
2x + 3y = 15

• (-3, 7)

• (-3, -5)

• (7, -3)

• (-3, 0)

x-y=11
2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve by elimination
-6x + 5y = 1
6x + 4y = -10

• (1,-1)

• (0,-1)

• (1,1)

• (-1,-1)

Solve by elimination:
7x-9y=29
7x+2y=-15

• (-4,-1)

• (-1.-4)

• (-1,4)

• (-1,6)

what do you need to multiply the top equation by to make a zero pair:

5x - 2y = 11

-10x + 3y = -4

• 5

• -1

• 2

• -2

Solve by elimination:
7x-9y=29

7x+2y=-15

• (-4,-1)

• (-1.-4)

• (-1,4)

• (-1,6)

Solve the system of Equation (x,y)
–2x + y = 10
4x – y = –14  

• (1,5)

• (6,2)

• (-2,6)

• (4,6)

Find the solution of the system of linear equations
3x - 2y = 12
2x + y = 1

• (-2, -3)

• (2, 0)

• (2, -3)

• (-3, 2)