y=5x+4;y=7x+6

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2x+y=8
x+3y=14

Solution for y=5x+4;y=7x+6 system of equations: 


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

 

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