3x-y+1=0;3y=-2x-8

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

Solution for 3x-y+1=0;3y=-2x-8 system of equations: 


  • /| 3*x-y+1 = 0| 3*y-(-2*x)+8 = 0
  • We try to solve the equation: 3*x-y+1 = 0
  • 3*x-y+1 = 0 // - 3*x+1
  • -y = -(3*x+1) // * -1
  • y = 3*x+1
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*(3*x+1)-(-2*x)+8 = 0| y = 3*x+1
  • 3*(3*x+1)+2*x+8 = 0
  • 11*x+3+8 = 0
  • 11*x+11 = 0
  • 11*x+11 = 0 // - 11
  • 11*x = -11 // : 11
  • x = -11/11
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 3*x+1: 
  • y = 1-1*3
  • y = 1-3
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = -1

 

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