7x-y=41;x+5y=47

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

Solution for 7x-y=41;x+5y=47 system of equations:


  • /| 7*x-y-41 = 0| x+5*y-47 = 0
  • We try to solve the equation: 7*x-y-41 = 0
  • 7*x-y-41 = 0 / - 7*x-41
  • -y = -(7*x-41) / * -1
  • y = 7*x-41
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*(7*x-41)+x-47 = 0| y = 7*x-41
  • 5*(7*x-41)+x-47 = 0
  • 36*x-205-47 = 0
  • 36*x-252 = 0
  • 36*x-252 = 0 / + 252
  • 36*x = 252 / : 36
  • x = 252/36
  • x = 7
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 7*x-41:
  • y = 7*7-41
  • y = 49-41
  • y = 8
  • We get a system of equations:
  • /| y = 8| x = 7

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