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

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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=4;5x+4y=3 system of equations: 


  • /| 2*x+3*y-4 = 0| 5*x+4*y-3 = 0
  • We try to solve the equation: 2*x+3*y-4 = 0
  • 2*x+3*y-4 = 0 // - 2*x-4
  • 3*y = -(2*x-4) // : 3
  • y = (-(2*x-4))/3
  • y = (4-(2*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((4-(2*x))/3)+5*x-3 = 0| y = (4-(2*x))/3
  • (4*(4-2*x))/3+5*x-3 = 0
  • 7/3*x-3+16/3 = 0
  • 7/3*x+7/3 = 0
  • 7/3*x+7/3 = 0 // - 7/3
  • 7/3*x = -7/3 // : 7/3
  • x = -7/3/7/3
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4-(2*x))/3: 
  • y = (4-(-1*2))/3
  • y = (2+4)/3
  • y = 6/3
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = -1

 

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