2x-2y=-10;y=4x-4

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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-2y=-10;y=4x-4 system of equations: 


  • /| 2*x-(2*y)+10 = 0| y-(4*x)+4 = 0
  • We try to solve the equation: 2*x-(2*y)+10 = 0
  • 2*x-2*y+10 = 0 // - 2*x+10
  • -2*y = -(2*x+10) // : -2
  • y = (-(2*x+10))/(-2)
  • y = (2*x+10)/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (2*x+10)/2-(4*x)+4 = 0| y = (2*x+10)/2
  • (2*x+10)/2-4*x+4 = 0
  • 4-3*x+5 = 0
  • 9-3*x = 0
  • 9-3*x = 0 // - 9
  • -3*x = -9 // : -3
  • x = -9/(-3)
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (2*x+10)/2: 
  • y = (2*3+10)/2
  • y = (6+10)/2
  • y = 16/2
  • y = 8
  • We get a system of equations:
  • /| y = 8| x = 3

 

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