5x-12=3x+y-4;y/2+5x=8

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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-12=3x+y-4;y/2+5x=8 system of equations: 


  • /| 5*x-(3*x)-y-12+4 = 0| 5*x+y/2-8 = 0
  • We try to solve the equation: 5*x-(3*x)-y-12+4 = 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:
  • /| (2*x-8)/2+5*x-8 = 0| y = 2*x-8
  • (2*x-8)/2+5*x-8 = 0
  • 6*x-8-4 = 0
  • 6*x-12 = 0
  • 6*x-12 = 0 // + 12
  • 6*x = 12 // : 6
  • x = 12/6
  • 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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