2x-5y=-9;5x+2y=50

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

Solution for 2x-5y=-9;5x+2y=50 system of equations:


  • /| 2*x-(5*y)+9 = 0| 5*x+2*y-50 = 0
  • We try to solve the equation: 2*x-(5*y)+9 = 0
  • 2*x-5*y+9 = 0 / - 2*x+9
  • -5*y = -(2*x+9) / : -5
  • y = (-(2*x+9))/(-5)
  • y = (2*x+9)/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((2*x+9)/5)+5*x-50 = 0| y = (2*x+9)/5
  • (2*(2*x+9))/5+5*x-50 = 0
  • 29/5*x-50+18/5 = 0
  • 29/5*x-232/5 = 0
  • 29/5*x-232/5 = 0 / + 232/5
  • 29/5*x = 232/5 / : 29/5
  • x = 232/5/29/5
  • x = 8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (2*x+9)/5:
  • y = (2*8+9)/5
  • y = (9+16)/5
  • y = 25/5
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = 8

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