4x+3y=-9;2x-y=-15

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for example:
2x+y=8
x+3y=14

Solution for 4x+3y=-9;2x-y=-15 system of equations:


  • /| 4*x+3*y+9 = 0| 2*x-y+15 = 0
  • We try to solve the equation: 4*x+3*y+9 = 0
  • 4*x+3*y+9 = 0 / - 4*x+9
  • 3*y = -(4*x+9) / : 3
  • y = (-(4*x+9))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-((-(4*x+9))/3)+15 = 0| y = (-(4*x+9))/3
  • (-1*(-4*x-9))/3+2*x+15 = 0
  • 10/3*x+3+15 = 0
  • 10/3*x+18 = 0
  • 10/3*x+18 = 0 / - 18
  • 10/3*x = -18 / : 10/3
  • x = -18/10/3
  • x = -27/5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(4*x+9))/3:
  • y = (-(9-27/5*4))/3
  • y = (-(9-108/5))/3
  • y = 63/5/3
  • y = 21/5
  • We get a system of equations:
  • /| y = 21/5| x = -27/5

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