2x-y=7;9y=2x-31

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2x+y=8
x+3y=14

Solution for 2x-y=7;9y=2x-31 system of equations:


  • /| 2*x-y-7 = 0| 9*y-(2*x)+31 = 0
  • We try to solve the equation: 2*x-y-7 = 0
  • 2*x-y-7 = 0 / - 2*x-7
  • -y = -(2*x-7) / * -1
  • y = 2*x-7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 9*(2*x-7)-(2*x)+31 = 0| y = 2*x-7
  • 9*(2*x-7)-2*x+31 = 0
  • 16*x-63+31 = 0
  • 16*x-32 = 0
  • 16*x-32 = 0 / + 32
  • 16*x = 32 / : 16
  • x = 32/16
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 2*x-7:
  • y = 2*2-7
  • y = 4-7
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = 2

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