2x-3y=-15;x=4y

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

Solution for 2x-3y=-15;x=4y system of equations: 


  • /| 2*x-(3*y)+15 = 0| x-(4*y) = 0
  • We try to solve the equation: 2*x-(3*y)+15 = 0
  • 2*x-3*y+15 = 0 // - 2*x+15
  • -3*y = -(2*x+15) // : -3
  • y = (-(2*x+15))/(-3)
  • y = (2*x+15)/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(4*((2*x+15)/3)) = 0| y = (2*x+15)/3
  • (-1*4*(2*x+15))/3+x = 0
  • -5/3*x-20 = 0
  • -5/3*x-20 = 0 // + 20
  • -5/3*x = 20 // : -5/3
  • x = 20/(-5/3)
  • x = -12
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (2*x+15)/3: 
  • y = (15-12*2)/3
  • y = (15-24)/3
  • y = -9/3
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = -12

 

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