Linear Systems Substitution Method

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.

Fill in the blank: If a linear system has one solution, that solution is a ______________.

• line

• ordered pair

• equation

• integer

What is the best choice for solving the given system?

y=4x-1

y=2x-5

• 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.

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

Solve the system below using the substitution method.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)