3x-5y=7;4x+10y=6

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Solution for 3x-5y=7;4x+10y=6 system of equations: 


  • /| 3*x-(5*y)-7 = 0| 4*x+10*y-6 = 0
  • We try to solve the equation: 3*x-(5*y)-7 = 0
  • 3*x-5*y-7 = 0 // - 3*x-7
  • -5*y = -(3*x-7) // : -5
  • y = (-(3*x-7))/(-5)
  • y = (7-(3*x))/(-5)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 10*((7-(3*x))/(-5))+4*x-6 = 0| y = (7-(3*x))/(-5)
  • (10*(7-3*x))/(-5)+4*x-6 = 0
  • 10*x-14-6 = 0
  • 10*x-20 = 0
  • 10*x-20 = 0 // + 20
  • 10*x = 20 // : 10
  • x = 20/10
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (7-(3*x))/(-5): 
  • y = (7-(2*3))/(-5)
  • y = (7-6)/(-5)
  • y = 1/(-5)
  • y = -1/5
  • We get a system of equations:
  • /| y = -1/5| x = 2

 

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