Systems by Elimination Uncommon Coefficients

Solve by elimination:
-x+2y=17

2x+2y=-10

• ARN

• (-9,4)

• (-9,-4)

• (9,-4)

Solve by elimination

4x-6y= -6

-2x-12y= -12

• (0,1)

• (1,0)

• (1,1)

• (0, 2)

Solve by elimination 
2x+9y= -7 
6x-3y= 9 

• (-1, -1) 

• (2,-1)

• (1,1)

• (1,-1)

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

• (-3, -2)

• (1.5, 2)

• (3, 0)

• (3, 2)

8x + 14y = 4

-6x - 7y = -10

• (4, -2)

• (-2, 4)

• (0, 3)

• (-4, -2)

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

You and your brother each decide to open a savings account. You open your account at Elsa’s Banking Branch. Your brother opens his account at Anna’s Banking Company. You put $50 in the bank and your account earns $4 per week in interest. Your brother puts $150 in his account but only earns $2 per week in interest. How many weeks will it take for both your brother and your account to have the same balance? Write a system of linear equations to solve the problem.

• 200 weeks

• 300 weeks

• 50 weeks

• 250 weeks

Solve by elimination:

7x+y=-9

-3x-y=5

• No solution

• (-1,8)

• (-2,-3)

• (-1,-2)

Macy starts with $20 in her bank account and she saves $5 each week. Robby has $100 in his bank account, and he saves $2.50 each week. After how many weeks will Macy and Robby have the same amount in their accounts and how much money will that be? Write a system of equations to solve.

• 25 weeks; $160

• 32 weeks; $180

• 20 weeks; $120

• 22 weeks; $135

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution

• ARN

• (-3,3)

• (3,3)