6x+2y=26;2x+3y=18

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

Solution for 6x+2y=26;2x+3y=18 system of equations: 


  • /| 6*x+2*y-26 = 0| 2*x+3*y-18 = 0
  • We try to solve the equation: 6*x+2*y-26 = 0
  • 6*x+2*y-26 = 0 // - 6*x-26
  • 2*y = -(6*x-26) // : 2
  • y = (-(6*x-26))/2
  • y = (26-(6*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((26-(6*x))/2)+2*x-18 = 0| y = (26-(6*x))/2
  • (3*(26-6*x))/2+2*x-18 = 0
  • 39-7*x-18 = 0
  • 21-7*x = 0
  • 21-7*x = 0 // - 21
  • -7*x = -21 // : -7
  • x = -21/(-7)
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (26-(6*x))/2: 
  • y = (26-(3*6))/2
  • y = (26-18)/2
  • y = 8/2
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 3

 

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