5x+2y=10;3x+4y=6

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 5x+2y=10;3x+4y=6 system of equations: 


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

 

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