Solving Linear Equations by Using Substitution

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Select all the methods you can use to solve a system of equations

• Graphing

• Elimination

• Substitution

• Using a Table

• Desmos

Solve the given system by using substitution method:

x = 3y -13

4x + 2y = 4

• x = 1, y = 4

• x = -1, y = -4

• x = -1, y = 4

• x = 1, y = -4

Solve the given system by using substitution method.

• Infinite number of solutions

• x = 0, y = 7

• x = -5, y = -7

• x = 5, y = 7

• no solution

Using Substitution, solve for the following system of linear equations: y = 2x + 5 y = 4x + 9

• (-2, 1)

• (-2, -1)

• (2, -1)

• (2, 1)

How many solutions does this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

• (3,-7)

• No solutions

• Infinitely many solutions

• (5,11)

How many solutions does this system have?

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

What is the solution to the linear system?

• (-8, -6)

• (-6, -8)

• (8, -6)

• No solution