5x-y=-2;x+7y=50

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 5x-y=-2;x+7y=50 system of equations: 


  • /| 5*x-y+2 = 0| x+7*y-50 = 0
  • We try to solve the equation: 5*x-y+2 = 0
  • 5*x-y+2 = 0 // - 5*x+2
  • -y = -(5*x+2) // * -1
  • y = 5*x+2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*(5*x+2)+x-50 = 0| y = 5*x+2
  • 7*(5*x+2)+x-50 = 0
  • 36*x-50+14 = 0
  • 36*x-36 = 0
  • 36*x-36 = 0 // + 36
  • 36*x = 36 // : 36
  • x = 36/36
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 5*x+2: 
  • y = 1*5+2
  • y = 2+5
  • y = 7
  • We get a system of equations:
  • /| y = 7| x = 1

 

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