Solving by Substitution Factoring

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 first step to using the substitution method for solving a system of equations?

• Solve both equations for y.

• Solve both equations for x.

• Write both equations in standard form.

• Solve on equation for x or y.

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

• (-1, 3)

• (3, -1)

• There is no solution.

• There are infinitely many solutions.

Using substitution, what is the correct next step? I am not interested in the answer.

• 3x - 7(-2y-21) = 41

• 3(-2y-21) - 7y = 41

• -2(41-3x) - 21

• (-5,-8)

Using substitution, what is the correct next step? I am not interested in the answer.

• 5x - (2x) = 9

• 5(2x) - y = 9

• (3,6)

• (6,3)

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

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)