Introduction Solving Systems by Substitution (one variable solved for, and is equal to one term)

y = -3x 3x - 6y = 0 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(0, 0)

y = -3x -4x - 4y = 16 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(2, -6)

y = 0 5x + 2y = 10 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(2, 0)

x = 3 2x + 2y = -4 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(3, -5)

y = 4x 12x - 3y = 0 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

infinitely many solutions

9x - 3y = 4 y = 3x Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

no solution

y = -5x 10x + 2y = 2 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

no solution

2x - 3y = 18 x = 6 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(6, -2)

5x - 6y = 13 y = -3 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(-1, -3)

y = 5x -6x + 3y = -9 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(-1, -5)

-6x - y = 2 y = -4x Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(-1, 4)

y = -5x -x + 2y = 11 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(-1, 5)

-2x - 3y = 10 y = x Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(-2, -2)

y = 2x 3x - 3y = 18 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(-6, -12)

y = -3x 4x + 2y = -8 Solve the system of equations. Write your answer as an ordered pair (x, y) or no solution, or infinitely many solutions.

(4, -12)