-5x+2y=-10;5x-3y=10

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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+2y=-10;5x-3y=10 system of equations: 


  • /| 2*y-5*x+10 = 0| 5*x-(3*y)-10 = 0
  • We try to solve the equation: 2*y-5*x+10 = 0
  • 2*y-5*x+10 = 0 // - 10-5*x
  • 2*y = -(10-5*x) // : 2
  • y = (-(10-5*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*x-(3*((-(10-5*x))/2))-10 = 0| y = (-(10-5*x))/2
  • (-1*3*(5*x-10))/2+5*x-10 = 0
  • 15-5/2*x-10 = 0
  • 5-5/2*x = 0
  • 5-5/2*x = 0 // - 5
  • -5/2*x = -5 // : -5/2
  • x = -5/(-5/2)
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(10-5*x))/2: 
  • y = (-(10-5*2))/2
  • y = (-(10-10))/2
  • y = 0/2
  • y = 0
  • We get a system of equations:
  • /| y = 0| x = 2

 

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