SOE: Substitution Method Mastery Assignment

Solve the system of equations using the substitution method: \( y = 2x + 3 \) and \( 4x - y = 1 \).

• \( x = 1, y = 5 \)

• \( x = 2, y = 7 \)

• \( x = 0, y = 3 \)

• \( x = -1, y = 1 \)

Tags

CC.9-12.A.REI.6

Given the equations \( 3x + 2y = 16 \) and \( y = x - 4 \), what is the value of \( x \)?

• 4

• 5

• 6

• 7

Tags

CC.9-12.A.REI.6

Use the substitution method to find the solution to the system: \( x = 3y - 7 \) and \( 2x + 4y = 12 \).

• \( x = 2, y = 3 \)

• \( x = -1, y = 2 \)

• \( x = 1, y = 3 \)

• \( x = 1, y = 2 \)

Tags

CC.9-12.A.REI.6

If \( x = 5y \) and \( 3x + 15y = 60 \), what are the values of \( x \) and \( y \)?

• \( x = 10, y = 2 \)

• \( x = 15, y = 3 \)

• \( x = 20, y = 4 \)

• \( x = 25, y = 5 \)

Tags

CC.9-12.A.REI.6

Solve the following system using substitution: \( y = 4x - 1 \) and \( 2y + 8x = 14 \).

• \( x = 3, y = 11 \)

• \( x = 2, y = 7 \)

• \( x = 1, y = 3 \)

• \( x = 0, y = -1 \)

Tags

CC.9-12.A.REI.6

For the system \( x + y = 10 \) and \( y = 2x \), what is the solution?

• \( x = 3, y = 6 \)

• \( x = 4, y = 8 \)

• \( x = 6.5, y = 3.5 \)

• \( x = 3.33, y = 6.67 \)

Tags

CC.9-12.A.REI.6

Find the solution for the system of equations: \( 2x - 3y = -1 \) and \( y = 2x + 5 \).

• \( x = -2, y = 1 \)

• \( x = 1, y = 7 \)

• \( x = -1, y = 3 \)

• \( x = 2, y = 9 \)

Tags

CC.9-12.A.REI.6

Using substitution, solve the system: \( y = -3x + 4 \) and \( 5x - 2y = 10 \).

• \( x = 2, y = -2 \)

• \( x = -2, y = 10 \)

• \( x = 0, y = 4 \)

• \( x = 1, y = 1 \)

Tags

CC.9-12.A.REI.6

Determine the solution to the system \( x = y + 3 \) and \( 4x - y = 11 \) using the substitution method.

• \( x = 4, y = 1 \)

• \( x = 3, y = 0 \)

• \( x = 2, y = -1 \)

• \( x = 5, y = 2 \)

Tags

CC.9-12.A.REI.6

Solve the system \( x = 2y - 1 \) and \( 3x + y = 9 \) by substitution.

• \( x = 3, y = 2 \)

• \( x = 4, y = 2.5 \)

• \( x = 5, y = 3 \)

• \( x = 2, y = 1.5 \)

Tags

CC.9-12.A.REI.6