Solving Systems of Equations

Solving Systems of Equations by Elimination

System of Equations Solutions

  • 1: $(-6, -6)$
    −4x−2y=−12-4x - 2y = -12
    4x+8y=−244x + 8y = -24

  • 2: $(7, -1)$
    4x+8y=204x + 8y = 20
    −4x+2y=−30-4x + 2y = -30

  • 3: $(10, -1)$
    x−y=11x - y = 11
    2x+y=192x + y = 19

  • 4: $(-1, -1)$
    −6x+5y=1-6x + 5y = 1
    6x+4y=−106x + 4y = -10

  • 5: $(-1, 3)$
    −2x−9y=−25-2x - 9y = -25
    −4x−9y=−23-4x - 9y = -23

  • 6: $(-1, -8)$
    8x+y=−168x + y = -16
    −3x+y=−5-3x + y = -5

  • 7: $(5, 6)$
    −6x+6y=6-6x + 6y = 6
    −6x+3y=−12-6x + 3y = -12

  • 8: $(6, -9)$
    7x+2y=247x + 2y = 24
    8x+2y=308x + 2y = 30

  • 9: $(1, 4)$
    5x+y=95x + y = 9
    10x−7y=−1810x - 7y = -18

  • 10: $(9, 5)$
    −4x+9y=9-4x + 9y = 9
    x−3y=−6x - 3y = -6

  • 11: $(-4, -4)$
    −3x+7y=−16-3x + 7y = -16
    −9x+5y=16-9x + 5y = 16

  • 12: $(2, -5)$
    −7x+y=−19-7x + y = -19
    −2x+3y=−19-2x + 3y = -19

Additional Solutions

  • 13: $(0, -1)$
    16x−10y=1016x - 10y = 10
    −8x−6y=6-8x - 6y = 6

  • 14: $(4, -2)$
    8x+14y=48x + 14y = 4
    −6x−7y=−10-6x - 7y = -10

  • 15: $(8, -1)$
    −4x−15y=−17-4x - 15y = -17
    −x+5y=−13-x + 5y = -13

  • 16: $(0, -2)$
    −x−7y=14-x - 7y = 14
    −4x−14y=28-4x - 14y = 28

  • 17: $(1, -2)$
    −7x−8y=9-7x - 8y = 9
    −4x+9y=−22-4x + 9y = -22

  • 18: $(-6, 0)$
    5x+4y=−305x + 4y = -30
    3x−9y=−183x - 9y = -18

  • 19: $(-1, -5)$
    −4x−2y=14-4x - 2y = 14
    −10x+7y=−25-10x + 7y = -25

  • 20: $(-2, -4)$
    3x−2y=23x - 2y = 2
    5x−5y=105x - 5y = 10

  • 21: $(-6, 4)$
    5x+4y=−145x + 4y = -14
    3x+6y=63x + 6y = 6

  • 22: Infinite Solutions
    2x+8y=62x + 8y = 6
    −5x−20y=−15-5x - 20y = -15

  • 23: $(2, 0)$
    −14=−20y−7x-14 = -20y - 7x
    10y+4=2x10y + 4 = 2x

  • 24: $(-1, 1)$
    3+2x−y=03 + 2x - y = 0
    $$-3 - 7y = 10x