-3y=x-5;x+5y=7

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for -3y=x-5;x+5y=7 system of equations: 


  • /| 5-x-3*y = 0| x+5*y-7 = 0
  • We try to solve the equation: 5-x-3*y = 0
  • 5-x-3*y = 0 // - 5-x
  • -3*y = -(5-x) // : -3
  • y = (-(5-x))/(-3)
  • y = (x-5)/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*((x-5)/(-3))+x-7 = 0| y = (x-5)/(-3)
  • (5*(x-5))/(-3)+x-7 = 0
  • 25/3-2/3*x-7 = 0
  • 4/3-2/3*x = 0
  • 4/3-2/3*x = 0 // - 4/3
  • -2/3*x = -4/3 // : -2/3
  • x = -4/3/(-2/3)
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x-5)/(-3): 
  • y = (2-5)/(-3)
  • y = -3/(-3)
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 2

 

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