x+8y=37;3x+6y=21

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

Solution for x+8y=37;3x+6y=21 system of equations: 


  • /| x+8*y-37 = 0| 3*x+6*y-21 = 0
  • We try to solve the equation: x+8*y-37 = 0
  • x+8*y-37 = 0 // - x-37
  • 8*y = -(x-37) // : 8
  • y = (-(x-37))/8
  • y = (37-x)/8
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*((37-x)/8)+3*x-21 = 0| y = (37-x)/8
  • (6*(37-x))/8+3*x-21 = 0
  • 9/4*x-21+111/4 = 0
  • 9/4*x+27/4 = 0
  • 9/4*x+27/4 = 0 // - 27/4
  • 9/4*x = -27/4 // : 9/4
  • x = -27/4/9/4
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (37-x)/8: 
  • y = (3+37)/8
  • y = 40/8
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = -3

 

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