6x+5y=-43;x=-6-2y

Simple and best practice solution for 6x+5y=-43;x=-6-2y. Check how easy it is, to solve this system of equations and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 6x+5y=-43;x=-6-2y system of equations: 


  • /| 6*x+5*y+43 = 0| x+2*y+6 = 0
  • We try to solve the equation: 6*x+5*y+43 = 0
  • 6*x+5*y+43 = 0 // - 6*x+43
  • 5*y = -(6*x+43) // : 5
  • y = (-(6*x+43))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((-(6*x+43))/5)+x+6 = 0| y = (-(6*x+43))/5
  • (2*(-6*x-43))/5+x+6 = 0
  • 6-7/5*x-86/5 = 0
  • -7/5*x-56/5 = 0
  • -7/5*x-56/5 = 0 // + 56/5
  • -7/5*x = 56/5 // : -7/5
  • x = 56/5/(-7/5)
  • x = -8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(6*x+43))/5: 
  • y = (-(43-8*6))/5
  • y = (-(43-48))/5
  • y = 5/5
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = -8

 

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