2X-Y=4;4X+3Y=-7

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

Solution for 2X-Y=4;4X+3Y=-7 system of equations: 


  • /| 2*X-Y-4 = 0| 4*X+3*Y+7 = 0
  • We try to solve the equation: 2*X-Y-4 = 0
  • 2*X-Y-4 = 0 // - 2*X-4
  • -Y = -(2*X-4) // * -1
  • Y = 2*X-4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*(2*X-4)+4*X+7 = 0| Y = 2*X-4
  • 3*(2*X-4)+4*X+7 = 0
  • 10*X-12+7 = 0
  • 10*X-5 = 0
  • 10*X-5 = 0 // + 5
  • 10*X = 5 // : 10
  • X = 5/10
  • X = 1/2
  • We insert the solution into one of the initial equations of our system of equations
  • For Y = 2*X-4: 
  • Y = 1/2*2-4
  • Y = 1-4
  • Y = -3
  • We get a system of equations:
  • /| Y = -3| X = 1/2

 

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