7x+y=5;56x-40=-8y

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

Solution for 7x+y=5;56x-40=-8y system of equations: 


  • /| 7*x+y-5 = 0| 56*x-(-8*y)-40 = 0
  • We try to solve the equation: 7*x+y-5 = 0
  • 7*x+y-5 = 0 // - 7*x-5
  • y = -(7*x-5)
  • y = 5-(7*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 56*x-(-8*(5-(7*x)))-40 = 0| y = 5-(7*x)
  • 56*x-8*(-1)*(5-7*x)-40 = 0
  • 40-40 = 0
  • 0 = 0
  • The system of equations has infinitely many solutions

 

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