Methods for Solving Linear Equations

Solve the system of equations using linear elimination.

2x + 10y = -22

8x + 5y = 17

• (-4, 3)

• (4, 3)

• (-3, -4)

• (4, -3)

Solve the system of equations using any method you want.

-12x - 7y = -2

3x + 8y = 13

• (-2, 1)

• (2, 3)

• (-1, 2)

• (0. 4)

Solve the system of equations using any method you want.

4x - 11y = 5

20x - 55y = -30

• (0, 0)

• No solution

• Infinite solutions

• (-1, 2)

Solve the system of equations by substitution.

2x - 8 = 4y

2y + 19 = 4x

• (4, 8)

• (2, ¹/₄)

• (5, ¹/₂)

• (¹/₃, 2)

Solve the system of equations using any method.

3x + 2y = 6

2x + 3y = 5

• (9, 9)

• (3, 4)

• (1.6, 0.6)

• (5.2, -1.8)

What is the solution to the system of equations below?

• No solution

• Infinitely many solutions

• (-¹⁹/₂₄ , ²³/₂₄ )

• (¹/₃ , ¹⁶/₂₄ )

What is the solution to the system of equations below?

4x + 6y = 8

10x + 12y = 14

• (-1, 2)

• (0, 2)

• (4, 3)

• (5, -2)

Andrew and Adrian are selling soap to make a little extra cash. People can either buy bars of soap or bath bombs. Andrew sold 3 bars of soap and 2 bath bombs for a total of $44.00, and Adrian sold 8 bars of soap and 2 bath bombs for a total of $84.00. What is the cost of one bar of soap and one bath bomb?

• bar of soap = $ 4.00

  bath bomb = $11.00

• bar of soap = $ 8.00

  bath bomb = $10.00

• bar of soap = $10.00

  bath bomb = $ 8.00

• bar of soap = $ 4.00

  bath bomb = $ 4.00

Solve the system of equations below by graphing:

6x - 3y = 3

2x - y = 4

• (6, 2)

• (9, 1)

• No solution

• Infinitely many solutions

Solve the system of equations by graphing.

y = ¹/₄ x + 2

y = ⁷/₄ x - 4

• (3, 4)

• (-3, 4)

• (4, 3)

• (-4, -3)