8x-3y=42;x+2y=-2

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

Solution for 8x-3y=42;x+2y=-2 system of equations: 


  • /| 8*x-(3*y)-42 = 0| x+2*y+2 = 0
  • We try to solve the equation: 8*x-(3*y)-42 = 0
  • 8*x-3*y-42 = 0 // - 8*x-42
  • -3*y = -(8*x-42) // : -3
  • y = (-(8*x-42))/(-3)
  • y = (42-(8*x))/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((42-(8*x))/(-3))+x+2 = 0| y = (42-(8*x))/(-3)
  • (2*(42-8*x))/(-3)+x+2 = 0
  • 19/3*x-28+2 = 0
  • 19/3*x-26 = 0
  • 19/3*x-26 = 0 // + 26
  • 19/3*x = 26 // : 19/3
  • x = 26/19/3
  • x = 78/19
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (42-(8*x))/(-3): 
  • y = (42-(78/19*8))/(-3)
  • y = (42-624/19)/(-3)
  • y = 174/19/(-3)
  • y = -58/19
  • We get a system of equations:
  • /| y = -58/19| x = 78/19

 

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