# Systems of equations worksheet

Name _____________________                                        Date:_____________________

Find the solution for each system below by elimination or by substitution.

 1. y = 2x - 3 y = x - 1 x = ________ y = ___________ 2. y = -2x + 1 y = 2x - 3 x = ________ y = ___________ 3. 4x - 2y = 8 2x + 2y = 4 x = ________ y = ___________ 4. -2x - y = -2 2x + 4y = 11 x = ________ y = ___________ 5. 6x + 2y = 10 3x + 3y = -13 x = ________ y = ___________ 6. 7x - 12y = -13 5x + 4y = 19 x = ________ y = ___________ 7. 4x + 2y = 14 7x - 3y = -8 x = ________ y = ___________ 8. 15x + 3y = 9 10x + 7y = -4 x = ________ y = ___________

Name _____________________                                        Date:_____________________

Tell whether the system below has 1 solution, no solution, or infinitely many solutions. If the system has a solution, find it.

 1. y = 6x + 1 y = 6x - 1 ________________ 2. y = 3x + 1 y = 2x - 1 ________________ 3. y = -5x + 1 y = -5x + 1 ________________ 4. y = 8x - 5 y = -8x - 5 ________________ 5. 2y - 6x = 10 2y + 6x = -10 ________________ 6. 10y = 20x + 40 10y = 20x + 10 ________________ 7. y = (1/5)x - 2 5y + 10 = x ________________ 8. y = (1/4)x + 6 4y - 24 = -x ________________