Solving Systems of Equations

The first step for solving systems of linear equations using substitution is...

• Solve one of the equations for one of the variables.

• Substitute the expression into the other equation

• Solve

• None of these options

Solve the system of linear equations using the substitution method.

Equation 1: 2x + y = 9

Equation 2: y = 5x + 2

• (2, 5)

• (-1, -3)

• (1, 7)

• (5, -1)

Solve the system of linear equations using the substitution method

Equation 1: 3x + 4y = 8

Equation 2: x = 2y - 1

• (1, 1)

• (0,1)

• (5, 3)

• (4, 2)

Choose the correct equation after substitution:

y = 3x

2x + 4y = 10

• 2x + 4y = 3x

• 2x + 4(3x) = 10

• 3x + 4y = 10

• 2x + 3x = 10

How many solutions does the following graph have?

Equation 1: y = 3x + 6

Equation 2: 2y = 6x + 12

• One solution

• No solution

• Infinitely many solutions

What is the solution to the system of equations?

Equation 1: y = 4x + 2

Equation 2: 2x + y = 2

• (4, 3)

• (2, 0)

• (1, 4)

• (0, 2)

Choose the correct equation after substitution.

y = 3x + 14

y = -4x

• y = 7x + 14

• -4x = 3x + 14

• 3x = -4x + 14

• 4x = -3x - 14