-5x-7y=-20;9x+2y=-17

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2x+y=8
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Solution for -5x-7y=-20;9x+2y=-17 system of equations: 


  • /| 20-5*x-(7*y) = 0| 9*x+2*y+17 = 0
  • We try to solve the equation: 20-5*x-(7*y) = 0
  • 20-5*x-7*y = 0 // - 20-5*x
  • -7*y = -(20-5*x) // : -7
  • y = (-(20-5*x))/(-7)
  • y = (20-5*x)/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((20-5*x)/7)+9*x+17 = 0| y = (20-5*x)/7
  • (2*(20-5*x))/7+9*x+17 = 0
  • 53/7*x+40/7+17 = 0
  • 53/7*x+159/7 = 0
  • 53/7*x+159/7 = 0 // - 159/7
  • 53/7*x = -159/7 // : 53/7
  • x = -159/7/53/7
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (20-5*x)/7: 
  • y = (20-5*(-3))/7
  • y = (3*5+20)/7
  • y = (15+20)/7
  • y = 35/7
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = -3

 

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