Elimination System

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

Solve the system of equations:

3x + y = –21

x + y = –5

• (-3,8)

• (8,-3)

• (3,-8)

• (-8,3)

Where do these lines intersect?
x-y=11
2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

8x + 14y = 4

-6x - 7y = -10

• (4, -2)

• (-2, 4)

• (0, 3)

• (-4, -2)

Solve the system of equations:

y=2x

x + y = 9

• (6, 3)

• (3, 6)

• (-3, -6)

• no solution

Solve the system by elimination.

-5x - 5y = -10

5x + 4y = 11

• (3, -4)

• (-6, 1)

• (3, -1)

• (-1,3)

Solve the system by elimination.

• (1,-2)

• (3,-2)

• (-4,2)

• (3,2)

What is the first step in solving this system using elimination?

• Eliminate Right Away

• Multiply the top equation by 3

• Multiply the bottom equation by 8

• None of these would work.

What is the first step in solving this system using elimination?

-3x + 4y = 0

-9x + 6y = 18

• Eliminate Right Away

• Multiply the top equation by -3

• Multiply the top equation by 3

• Multiply the bottom equation by 4