2x-y=8;7y=2x-32

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

Solution for 2x-y=8;7y=2x-32 system of equations: 


  • /| 2*x-y-8 = 0| 7*y-(2*x)+32 = 0
  • We try to solve the equation: 2*x-y-8 = 0
  • 2*x-y-8 = 0 // - 2*x-8
  • -y = -(2*x-8) // * -1
  • y = 2*x-8
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*(2*x-8)-(2*x)+32 = 0| y = 2*x-8
  • 7*(2*x-8)-2*x+32 = 0
  • 12*x-56+32 = 0
  • 12*x-24 = 0
  • 12*x-24 = 0 // + 24
  • 12*x = 24 // : 12
  • x = 24/12
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 2*x-8: 
  • y = 2*2-8
  • y = 4-8
  • y = -4
  • We get a system of equations:
  • /| y = -4| x = 2

 

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