y=1/2x-1;y=3x+6

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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=1/2x-1;y=3x+6 system of equations: 


  • /| y-((1/2)*x)+1 = 0| y-(3*x)-6 = 0
  • We try to solve the equation: y-((1/2)*x)+1 = 0
  • y-1/2*x+1 = 0 // - 1-1/2*x
  • y = -(1-1/2*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(3*x)-(-1/2*x)-6-1 = 0| y = -(1-1/2*x)
  • -5/2*x-7 = 0 // + 7
  • -5/2*x = 7 // : -5/2
  • x = 7/(-5/2)
  • x = -14/5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -(1-1/2*x): 
  • y = -(1-14/5*(-1/2))
  • y = -(1/2*14/5+1)
  • y = -(1+7/5)
  • y = -12/5
  • We get a system of equations:
  • /| y = -12/5| x = -14/5

 

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