7/4x-5/2y=2;1/4x+7/2y=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 7/4x-5/2y=2;1/4x+7/2y=8 system of equations: 


  • /| (7/4)*x-((5/2)*y)-2 = 0| (1/4)*x+(7/2)*y-8 = 0
  • We try to solve the equation: (7/4)*x-((5/2)*y)-2 = 0
  • 7/4*x-5/2*y-2 = 0 // - 7/4*x-2
  • -5/2*y = -(7/4*x-2) // : -5/2
  • y = (-(7/4*x-2))/(-5/2)
  • y = -2/5*(2-(7/4*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (1/4)*x-2/5*(7/2)*(2-(7/4*x))-8 = 0| y = -2/5*(2-(7/4*x))
  • x/4-7/5*(2-7/4*x)-8 = 0
  • 27/10*x-8-14/5 = 0
  • 27/10*x-54/5 = 0
  • 27/10*x-54/5 = 0 // + 54/5
  • 27/10*x = 54/5 // : 27/10
  • x = 54/5/27/10
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -2/5*(2-(7/4*x)): 
  • y = -2/5*(2-(7/4*4))
  • y = -2/5*(2-7)
  • y = -5*(-2/5)
  • y = 2/5*5
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 4

 

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