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


  • /| y-x+5 = 0| 2*y-2*x-10 = 0
  • We try to solve the equation: y-x+5 = 0
  • y-x+5 = 0 // - 5-x
  • y = -(5-x)
  • y = x-5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*(x-5)-2*x-10 = 0| y = x-5
  • 2*(x-5)-2*x-10 = 0
  • -10-10 = 0
  • -20 = 0
  • -20 = 0
  • x belongs to the empty set
  • The system of equations does not have any solution

 

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