6x+5y=-16;-6x-7y=8

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

Solution for 6x+5y=-16;-6x-7y=8 system of equations:


  • /| 6*x+5*y+16 = 0| -6*x-(7*y)-8 = 0
  • We try to solve the equation: 6*x+5*y+16 = 0
  • 6*x+5*y+16 = 0 / - 6*x+16
  • 5*y = -(6*x+16) / : 5
  • y = (-(6*x+16))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(7*((-(6*x+16))/5))-6*x-8 = 0| y = (-(6*x+16))/5
  • (-1*7*(-6*x-16))/5-6*x-8 = 0
  • 12/5*x-8+112/5 = 0
  • 12/5*x+72/5 = 0
  • 12/5*x+72/5 = 0 / - 72/5
  • 12/5*x = -72/5 / : 12/5
  • x = -72/5/12/5
  • x = -6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(6*x+16))/5:
  • y = (-(16-6*6))/5
  • y = (-(16-36))/5
  • y = 20/5
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = -6

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