2x+7y=-5;3x-8y=-5

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2x+y=8
x+3y=14

Solution for 2x+7y=-5;3x-8y=-5 system of equations: 


  • /| 2*x+7*y+5 = 0| 3*x-(8*y)+5 = 0
  • We try to solve the equation: 2*x+7*y+5 = 0
  • 2*x+7*y+5 = 0 // - 2*x+5
  • 7*y = -(2*x+5) // : 7
  • y = (-(2*x+5))/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*x-(8*((-(2*x+5))/7))+5 = 0| y = (-(2*x+5))/7
  • (-1*8*(-2*x-5))/7+3*x+5 = 0
  • 37/7*x+5+40/7 = 0
  • 37/7*x+75/7 = 0
  • 37/7*x+75/7 = 0 // - 75/7
  • 37/7*x = -75/7 // : 37/7
  • x = -75/7/37/7
  • x = -75/37
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(2*x+5))/7: 
  • y = (-(5-75/37*2))/7
  • y = (-(5-150/37))/7
  • y = -35/37/7
  • y = -5/37
  • We get a system of equations:
  • /| y = -5/37| x = -75/37

 

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