4x+5y=3;x=3-2y

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

Solution for 4x+5y=3;x=3-2y system of equations:


  • /| 4*x+5*y-3 = 0| x+2*y-3 = 0
  • We try to solve the equation: 4*x+5*y-3 = 0
  • 4*x+5*y-3 = 0 / - 4*x-3
  • 5*y = -(4*x-3) / : 5
  • y = (-(4*x-3))/5
  • y = (3-(4*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((3-(4*x))/5)+x-3 = 0| y = (3-(4*x))/5
  • (2*(3-4*x))/5+x-3 = 0
  • 6/5-3/5*x-3 = 0
  • -3/5*x-9/5 = 0
  • -3/5*x-9/5 = 0 / + 9/5
  • -3/5*x = 9/5 / : -3/5
  • x = 9/5/(-3/5)
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (3-(4*x))/5:
  • y = (3-(-3*4))/5
  • y = (3+12)/5
  • y = 15/5
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = -3

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