9x+8y=30;x=40-7y

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

Solution for 9x+8y=30;x=40-7y system of equations: 


  • /| 9*x+8*y-30 = 0| x+7*y-40 = 0
  • We try to solve the equation: 9*x+8*y-30 = 0
  • 9*x+8*y-30 = 0 // - 9*x-30
  • 8*y = -(9*x-30) // : 8
  • y = (-(9*x-30))/8
  • y = (30-(9*x))/8
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((30-(9*x))/8)+x-40 = 0| y = (30-(9*x))/8
  • (7*(30-9*x))/8+x-40 = 0
  • 105/4-55/8*x-40 = 0
  • -55/8*x-55/4 = 0
  • -55/8*x-55/4 = 0 // + 55/4
  • -55/8*x = 55/4 // : -55/8
  • x = 55/4/(-55/8)
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (30-(9*x))/8: 
  • y = (30-(-2*9))/8
  • y = (18+30)/8
  • y = 48/8
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = -2

 

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