2x+3y=5;-x+2y=8

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

Solution for 2x+3y=5;-x+2y=8 system of equations: 


  • /| 2*x+3*y-5 = 0| 2*y-x-8 = 0
  • We try to solve the equation: 2*x+3*y-5 = 0
  • 2*x+3*y-5 = 0 // - 2*x-5
  • 3*y = -(2*x-5) // : 3
  • y = (-(2*x-5))/3
  • y = (5-(2*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((5-(2*x))/3)-x-8 = 0| y = (5-(2*x))/3
  • (2*(5-2*x))/3-x-8 = 0
  • 10/3-7/3*x-8 = 0
  • -7/3*x-14/3 = 0
  • -7/3*x-14/3 = 0 // + 14/3
  • -7/3*x = 14/3 // : -7/3
  • x = 14/3/(-7/3)
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (5-(2*x))/3: 
  • y = (5-(-2*2))/3
  • y = (4+5)/3
  • y = 9/3
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = -2

 

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