Linear Systems Elimination Method

Solve the system by elimination.  

−7x + 6y = 29
10x + y = 16 

• (1,6) 

• (−1,−3) 

•  (−3, −1) 

• (−1, 3) 

Solve the system by elimination.

−6x + 6y = 0

9x − 8y = 4

• (4, −9)

• Infinite number of solutions

• (−9, 4)

• (4, 4)

Solve the system by elimination.  

4x + 12y = −1
−3x − 9y = 0 

• (10, 1) 

• (−10, −1) 

•  (10, −1) 

•  No solution 

4x+8y=20

-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve using Elimination Method:

x - y = 12

4x + y = 33

• (-9,-3)

• (3,-9)

• (9,-3)

• (-3,9)

Answer explanation

4x+ 9y = 28

-4x -y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Solve the system:

x + 6y = 17

-x + 3y = -8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

Solve using Elimination Method:

4x + 9y = 28

-4x - y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve the system with linear combinations method (Elimination method).

x + 4y = -4

3x + 5y = 2

Type in answer with no spaces between terms. Ex: (-2,1)

If no soultion type in NS

If infinitely many solutions type in IMS

Answer explanation