3x+1=y;2x+5y=22

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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+1=y;2x+5y=22 system of equations: 


  • /| 3*x-y+1 = 0| 2*x+5*y-22 = 0
  • We try to solve the equation: 3*x-y+1 = 0
  • 3*x-y+1 = 0 // - 3*x+1
  • -y = -(3*x+1) // * -1
  • y = 3*x+1
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*(3*x+1)+2*x-22 = 0| y = 3*x+1
  • 5*(3*x+1)+2*x-22 = 0
  • 17*x-22+5 = 0
  • 17*x-17 = 0
  • 17*x-17 = 0 // + 17
  • 17*x = 17 // : 17
  • x = 17/17
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 3*x+1: 
  • y = 1*3+1
  • y = 1+3
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 1

 

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