2y+8x=58;y-5x=11

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

Solution for 2y+8x=58;y-5x=11 system of equations: 


  • /| 8*x+2*y-58 = 0| y-(5*x)-11 = 0
  • We try to solve the equation: 8*x+2*y-58 = 0
  • 8*x+2*y-58 = 0 // - 8*x-58
  • 2*y = -(8*x-58) // : 2
  • y = (-(8*x-58))/2
  • y = (58-(8*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (58-(8*x))/2-(5*x)-11 = 0| y = (58-(8*x))/2
  • (58-8*x)/2-5*x-11 = 0
  • 29-9*x-11 = 0
  • 18-9*x = 0
  • 18-9*x = 0 // - 18
  • -9*x = -18 // : -9
  • x = -18/(-9)
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (58-(8*x))/2: 
  • y = (58-(2*8))/2
  • y = (58-16)/2
  • y = 42/2
  • y = 21
  • We get a system of equations:
  • /| y = 21| x = 2

 

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