Systems: Substitution Method

Solve the system of equations.

• (10, 3)

• (6, 3)

• (15, 3)

• No solution

• Infinite Solution

Solve the system of equations.

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3

• x + y = 33
  x = 2y - 3

• x + y = 33
  x = 3 - 2y

• x + y = 3
  x = 33 - 2y

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

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.

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)