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


  • /| x-(2*y)+2 = 0| x+2*y-10 = 0
  • We try to solve the equation: x-(2*y)+2 = 0
  • x-2*y+2 = 0 // - x+2
  • -2*y = -(x+2) // : -2
  • y = (-(x+2))/(-2)
  • y = (x+2)/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((x+2)/2)+x-10 = 0| y = (x+2)/2
  • (2*(x+2))/2+x-10 = 0
  • 2*x-10+2 = 0
  • 2*x-8 = 0
  • 2*x-8 = 0 // + 8
  • 2*x = 8 // : 2
  • x = 8/2
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x+2)/2: 
  • y = (2+4)/2
  • y = 6/2
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 4

 

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