Solving Two-Variable Equations

Solve the equation: 2x + 3y = 8, given that x = 4.

• x = 4, y = 0

• x = 4, y = 2

• x = 4, y = 5

• x = 4, y = 3

Solve the equation: 5x - 2y = 7, given that y = 2.

Solve the equation: 3x - 2y = 5, given that y = -1.

Solve the equation: 3x + 2y = 10, given that x = 2.

Solve for y:
2x + 2y = 6

• y = - x + 3

• y = x + 3

• y = 2x +6

• y = - 2x + 6

Coach Ortiz and his wife Mikala are saving up for a baby. Coach Ortiz has $500 saved up and saving $500 per month. Mikala has $1000 saved up and is saving $250 per month. After how many months will Coach Ortiz and Mikala have the same amount of money saved?

• 2 months

• 3 months

• 4 months

• 5 months

3x + 2y = -2

Rewrite the equation in STANDARD form.

-16x=2y-10

• 8x+y=5

• -16x-2y=10

• 16x+2y=-10

• 8x-y=-5

Rewrite the equation in STANDARD form.

-2x+20=-5y 

• 2x+5y=20

• 2x-5y=20

• 20=2x-5y 

• -2x+5y=-20

The linear equation 3x - 5y = 15 has

• a unique solution

• two solutions

• infinitely many solutions

• no solution