Substitution Method Systems

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Solve the linear system using the substitution method.

10x + y = 14

-8x + 3y = 23

• (1, 9)

• (0.5, 9)

• (-2, 2.3)

• (2, -6)

Fill in the blank: The substitution method is a way to solve systems of equations by ________________ equations within one another.

• graphing

• eliminating

• substituting

• solving

What is the best choice for solving the given system?

• Solve both equations for x.

• Plug in 4x-1 for y in the second equation.

• Plug in 4x-1 for x in the second equation.

• Plug in 2x-5 for x in the first equation.

T-Rob is solving the system shown. What is the solution?

• (-1, 3)

• (3, -1)

• There is no solution.

• There are infinitely many solutions.

Angel must solve the system shown. Which first step is the best choice?

• Solve the equation on the right for y.

• Solve the equation on the left for x.

• Solve the equation on the left for y.

• Solve the equation on the right for x.

Lukie is solving the system shown. What is the best choice for his next step?

• Plug in -2x-2 for x in the equation on the right.

• Plug in -8 for y in the equation on the left.

• Plug in 5x+3y for y in the equation on the left.

• Plug in -2x-2 for y in the equation on the right.

Solve the system below using the substitution method.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system using the substitution method.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Which is the best method for solving this system?
y = 3x - 11
4x + 8y = 6

• Elimination

• Graphing

• Substitution

• Factoring