2x+5y=3;x+10y=9

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x+3y=14

Solution for 2x+5y=3;x+10y=9 system of equations: 


  • /| 2*x+5*y-3 = 0| x+10*y-9 = 0
  • We try to solve the equation: 2*x+5*y-3 = 0
  • 2*x+5*y-3 = 0 // - 2*x-3
  • 5*y = -(2*x-3) // : 5
  • y = (-(2*x-3))/5
  • y = (3-(2*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 10*((3-(2*x))/5)+x-9 = 0| y = (3-(2*x))/5
  • (10*(3-2*x))/5+x-9 = 0
  • 6-3*x-9 = 0
  • -3*x-3 = 0
  • -3*x-3 = 0 // + 3
  • -3*x = 3 // : -3
  • x = 3/(-3)
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (3-(2*x))/5: 
  • y = (3-(-1*2))/5
  • y = (2+3)/5
  • y = 5/5
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = -1

 

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