2x+9y=71;4x-3y=-5

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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+9y=71;4x-3y=-5 system of equations: 


  • /| 2*x+9*y-71 = 0| 4*x-(3*y)+5 = 0
  • We try to solve the equation: 2*x+9*y-71 = 0
  • 2*x+9*y-71 = 0 // - 2*x-71
  • 9*y = -(2*x-71) // : 9
  • y = (-(2*x-71))/9
  • y = (71-(2*x))/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*x-(3*((71-(2*x))/9))+5 = 0| y = (71-(2*x))/9
  • (-1*3*(71-2*x))/9+4*x+5 = 0
  • 14/3*x-71/3+5 = 0
  • 14/3*x-56/3 = 0
  • 14/3*x-56/3 = 0 // + 56/3
  • 14/3*x = 56/3 // : 14/3
  • x = 56/3/14/3
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (71-(2*x))/9: 
  • y = (71-(2*4))/9
  • y = (71-8)/9
  • y = 63/9
  • y = 7
  • We get a system of equations:
  • /| y = 7| x = 4

 

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