Mastering the Substitution Method

Solve the system of equations using the substitution method: y = 2x + 3 and 4x - y = 9.

• (3, 9)

• (-3, -3)

• (1, 5)

• (2, 7)

If y = 3x - 4 and x + 2y = 14, what is the value of x?

• 4

• 2

• 5

• 3

Given the equations 2y = x + 5 and y + 3x = 7, what is the ordered pair that represents the solution to the system?

• (1, 3)

• (-1, 2)

• (2, 4)

• (1, 4)

Solve for y in the system: x = y - 1 and 3x + 2y = 14.

• 3

• 4

• 5

• 6

What is the solution to the system of equations: y = 4x and x + y = 10?

• (2, 8)

• (1, 4)

• (3, 12)

• (2, 4)

Using the substitution method, solve the following system: y = x^2 + 1 and y = 2x + 3.

• (1, 4)

• (2, 7)

• (-1, 2)

• (1, 3)

Find the value of y when the system is solved: 3x - 2y = 6 and y = 2x - 5.

• 1

• 2

• 3

• 4

Solve the system using substitution: y = -3x + 2 and 2x - 5y = -16.

• (-2, 8)

• (2, -4)

• (0, 2)

• (-1, 5)

Determine the solution to the system of equations: y = 5 - x and 2x + 3y = 15.

• (2, 3)

• (3, 2)

• (5, 0)

• (0, 5)

If y = 1/2x - 3 and 4x - 8y = 16, what is the solution to the system of equations?

• (4, -1)

• (2, -2)

• (6, 0)

• (8, 1)