3x+5y=-27;4x+2y=-22

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for example:
2x+y=8
x+3y=14

Solution for 3x+5y=-27;4x+2y=-22 system of equations: 


  • /| 3*x+5*y+27 = 0| 4*x+2*y+22 = 0
  • We try to solve the equation: 3*x+5*y+27 = 0
  • 3*x+5*y+27 = 0 // - 3*x+27
  • 5*y = -(3*x+27) // : 5
  • y = (-(3*x+27))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((-(3*x+27))/5)+4*x+22 = 0| y = (-(3*x+27))/5
  • (2*(-3*x-27))/5+4*x+22 = 0
  • 14/5*x-54/5+22 = 0
  • 14/5*x+56/5 = 0
  • 14/5*x+56/5 = 0 // - 56/5
  • 14/5*x = -56/5 // : 14/5
  • x = -56/5/14/5
  • x = -4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(3*x+27))/5: 
  • y = (-(27-4*3))/5
  • y = (-(27-12))/5
  • y = -15/5
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = -4

 

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