4x+3y=30;x=5y-4

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

Solution for 4x+3y=30;x=5y-4 system of equations:


  • /| 4*x+3*y-30 = 0| x-(5*y)+4 = 0
  • We try to solve the equation: 4*x+3*y-30 = 0
  • 4*x+3*y-30 = 0 / - 4*x-30
  • 3*y = -(4*x-30) / : 3
  • y = (-(4*x-30))/3
  • y = (30-(4*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(5*((30-(4*x))/3))+4 = 0| y = (30-(4*x))/3
  • (-1*5*(30-4*x))/3+x+4 = 0
  • 23/3*x-50+4 = 0
  • 23/3*x-46 = 0
  • 23/3*x-46 = 0 / + 46
  • 23/3*x = 46 / : 23/3
  • x = 46/23/3
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (30-(4*x))/3:
  • y = (30-(4*6))/3
  • y = (30-24)/3
  • y = 6/3
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 6

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