Solving Systems of Equations - Substitution and Elimination

Does this system of equations have a solution?

• Yes

• No

Solve using substitution or elimination.

−4x − 2y = −12

4x + 8y = −24

• (5,-5)

• (6,-6)

• No solution

• Infinitely many solutions

Solve using substitution or elimination

−7x + y = −19

−2x + 3y = −19

• (2,-5)

• No Solution

• (3,-6)

• Infinitely many solutions

Solve using either method.

5x + 4y = −30

3x − 9y = −18

• (-8,0)

• No solution

• (-6,0)

• Infinitely many solutions

Solve using either method

2x − 3y = −1

y = x − 1

• (4,3)

• No solution

• (5,3)

• Infinitely many solutions

Solve using either method.

−3x + 3y = 4

−x + y = 3

• (8,-2)

• No solution

• (8,-1)

• Infinitely many solutions

Solve using either method.

−2x + 6y = 6

−7x + 8y = −5

• (4,3)

• No solutions

• Infinitely many solutions

• (3,2)

Solve using either method.

−3x − 3y = 3

y = −5x − 17

• No solution

• Infinitely many solutions

• (-4,3)

• (3,-4)