3x+4y=5;-6x-5y=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+4y=5;-6x-5y=8 system of equations: 


  • /| 3*x+4*y-5 = 0| -6*x-(5*y)-8 = 0
  • We try to solve the equation: 3*x+4*y-5 = 0
  • 3*x+4*y-5 = 0 // - 3*x-5
  • 4*y = -(3*x-5) // : 4
  • y = (-(3*x-5))/4
  • y = (5-(3*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(5*((5-(3*x))/4))-6*x-8 = 0| y = (5-(3*x))/4
  • (-1*5*(5-3*x))/4-6*x-8 = 0
  • -9/4*x-8-25/4 = 0
  • -9/4*x-57/4 = 0
  • -9/4*x-57/4 = 0 // + 57/4
  • -9/4*x = 57/4 // : -9/4
  • x = 57/4/(-9/4)
  • x = -19/3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (5-(3*x))/4: 
  • y = (5-(-19/3*3))/4
  • y = (5+19)/4
  • y = 24/4
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = -19/3

 

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