5x+4y=15;y=-2x-1

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

Solution for 5x+4y=15;y=-2x-1 system of equations: 


  • /| 5*x+4*y-15 = 0| y-(-2*x)+1 = 0
  • We try to solve the equation: 5*x+4*y-15 = 0
  • 5*x+4*y-15 = 0 // - 5*x-15
  • 4*y = -(5*x-15) // : 4
  • y = (-(5*x-15))/4
  • y = (15-(5*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (15-(5*x))/4-(-2*x)+1 = 0| y = (15-(5*x))/4
  • (15-5*x)/4+2*x+1 = 0
  • 3/4*x+1+15/4 = 0
  • 3/4*x+19/4 = 0
  • 3/4*x+19/4 = 0 // - 19/4
  • 3/4*x = -19/4 // : 3/4
  • x = -19/4/3/4
  • x = -19/3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (15-(5*x))/4: 
  • y = (15-(-19/3*5))/4
  • y = (15+95/3)/4
  • y = 140/3/4
  • y = 35/3
  • We get a system of equations:
  • /| y = 35/3| x = -19/3

 

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