Solve Systems by Elimination Steps

What is the first step in solving a system of equations by elimination?

• Get both equations in standard form and line up the like terms.
• Get both equations in slope-intercept form.
• Get both equations equal to zero.
• Put the x terms first.

Solve by elimination:
4x + 9y = 28
-4x - y  = -28

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Solve by elimination:
7x + y = -9
-3x - y = 5

• No solution
• (1,8)
• (-2,-3)
• (-1,-2)

4x +  8y = 20
-4x + 2y = -30
Which variable will be eliminated?

• The  x
• The  y
• The  z
• The unknown

-6x + 5y = 1
 6x +  4y = -10

• (1,-1)
• (0,-1)
• (1,1)
• (-1,-1)

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

5x - 4y = =-16
x+ 2y = -6

• (-4,-1)
• (5,-1)
• (-5,-1)
• (4,1)

Your friend rents 10 chairs and 2 tables for $300. Another friend rents 8 chairs and 4 tables for $360. How much does a chair and a table cost? Write a system of equations to solve.

• Chairs $2 Tables $5

• Chairs $50 Tables $20

• Chairs $10 Tables $15

• Chairs $20 Tables $50