5x+4y=10;-3x-5y=7

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

Solution for 5x+4y=10;-3x-5y=7 system of equations: 


  • /| 5*x+4*y-10 = 0| -3*x-(5*y)-7 = 0
  • We try to solve the equation: 5*x+4*y-10 = 0
  • 5*x+4*y-10 = 0 // - 5*x-10
  • 4*y = -(5*x-10) // : 4
  • y = (-(5*x-10))/4
  • y = (10-(5*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(5*((10-(5*x))/4))-3*x-7 = 0| y = (10-(5*x))/4
  • (-1*5*(10-5*x))/4-3*x-7 = 0
  • 13/4*x-25/2-7 = 0
  • 13/4*x-39/2 = 0
  • 13/4*x-39/2 = 0 // + 39/2
  • 13/4*x = 39/2 // : 13/4
  • x = 39/2/13/4
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (10-(5*x))/4: 
  • y = (10-(5*6))/4
  • y = (10-30)/4
  • y = -20/4
  • y = -5
  • We get a system of equations:
  • /| y = -5| x = 6

 

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