4x+7y=18;y=10x-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 4x+7y=18;y=10x-8 system of equations: 


  • /| 4*x+7*y-18 = 0| y-(10*x)+8 = 0
  • We try to solve the equation: 4*x+7*y-18 = 0
  • 4*x+7*y-18 = 0 // - 4*x-18
  • 7*y = -(4*x-18) // : 7
  • y = (-(4*x-18))/7
  • y = (18-(4*x))/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (18-(4*x))/7-(10*x)+8 = 0| y = (18-(4*x))/7
  • (18-4*x)/7-10*x+8 = 0
  • 18/7-74/7*x+8 = 0
  • 74/7-74/7*x = 0
  • 74/7-74/7*x = 0 // - 74/7
  • -74/7*x = -74/7 // : -74/7
  • x = -74/7/(-74/7)
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (18-(4*x))/7: 
  • y = (18-(1*4))/7
  • y = (18-4)/7
  • y = 14/7
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 1

 

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