3x+4y=58;4x-8y=-16

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

Solution for 3x+4y=58;4x-8y=-16 system of equations: 


  • /| 3*x+4*y-58 = 0| 4*x-(8*y)+16 = 0
  • We try to solve the equation: 3*x+4*y-58 = 0
  • 3*x+4*y-58 = 0 // - 3*x-58
  • 4*y = -(3*x-58) // : 4
  • y = (-(3*x-58))/4
  • y = (58-(3*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*x-(8*((58-(3*x))/4))+16 = 0| y = (58-(3*x))/4
  • (-1*8*(58-3*x))/4+4*x+16 = 0
  • 10*x-116+16 = 0
  • 10*x-100 = 0
  • 10*x-100 = 0 // + 100
  • 10*x = 100 // : 10
  • x = 100/10
  • x = 10
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (58-(3*x))/4: 
  • y = (58-(3*10))/4
  • y = (58-30)/4
  • y = 28/4
  • y = 7
  • We get a system of equations:
  • /| y = 7| x = 10

 

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