3x+7y=9;x=2-2y

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

Solution for 3x+7y=9;x=2-2y system of equations:


  • /| 3*x+7*y-9 = 0| x+2*y-2 = 0
  • We try to solve the equation: 3*x+7*y-9 = 0
  • 3*x+7*y-9 = 0 / - 3*x-9
  • 7*y = -(3*x-9) / : 7
  • y = (-(3*x-9))/7
  • y = (9-(3*x))/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((9-(3*x))/7)+x-2 = 0| y = (9-(3*x))/7
  • (2*(9-3*x))/7+x-2 = 0
  • 1/7*x-2+18/7 = 0
  • 1/7*x+4/7 = 0
  • 1/7*x+4/7 = 0 / - 4/7
  • 1/7*x = -4/7 / : 1/7
  • x = -4/7/1/7
  • x = -4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (9-(3*x))/7:
  • y = (9-(-4*3))/7
  • y = (9+12)/7
  • y = 21/7
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = -4

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