2x+5y=10;3x-4y=-44.8

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for example:
2x+y=8
x+3y=14

Solution for 2x+5y=10;3x-4y=-44.8 system of equations:


  • /| 2*x+5*y-10 = 0| 3*x-(4*y)+44.8 = 0
  • We try to solve the equation: 2*x+5*y-10 = 0
  • 2*x+5*y-10 = 0 / - 2*x-10
  • 5*y = -(2*x-10) / : 5
  • y = (-(2*x-10))/5
  • y = (10-(2*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*x-(4*((10-(2*x))/5))+44.8 = 0| y = (10-(2*x))/5
  • (-1*4*(10-2*x))/5+3*x+44.8 = 0
  • 23/5*x-8+44.8 = 0
  • 23/5*x+36.8 = 0
  • 23/5*x+36.8 = 0 / - 36.8
  • 23/5*x = -36.8 / : 23/5
  • x = -36.8/23/5
  • x = -8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (10-(2*x))/5:
  • y = (10-(-8*2))/5
  • y = (10+16)/5
  • y = 26/5
  • We get a system of equations:
  • /| y = 26/5| x = -8

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