7x-2y=-15;y=8x+12

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Solution for 7x-2y=-15;y=8x+12 system of equations: 


  • /| 7*x-(2*y)+15 = 0| y-(8*x)-12 = 0
  • We try to solve the equation: 7*x-(2*y)+15 = 0
  • 7*x-2*y+15 = 0 // - 7*x+15
  • -2*y = -(7*x+15) // : -2
  • y = (-(7*x+15))/(-2)
  • y = (7*x+15)/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (7*x+15)/2-(8*x)-12 = 0| y = (7*x+15)/2
  • (7*x+15)/2-8*x-12 = 0
  • 15/2-9/2*x-12 = 0
  • -9/2*x-9/2 = 0
  • -9/2*x-9/2 = 0 // + 9/2
  • -9/2*x = 9/2 // : -9/2
  • x = 9/2/(-9/2)
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (7*x+15)/2: 
  • y = (15-1*7)/2
  • y = (15-7)/2
  • y = 8/2
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = -1

 

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