7x+3(y-2)=7y+6x-1;18+2(x-y)=4(x+2)-5y

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Solution for 7x+3(y-2)=7y+6x-1;18+2(x-y)=4(x+2)-5y system of equations: 


  • /| 3*(y-2)+7*x-(6*x)-(7*y)+1 = 0| 2*(x-y)-(4*(x+2))+5*y+18 = 0
  • We try to solve the equation: 3*(y-2)+7*x-(6*x)-(7*y)+1 = 0
  • 3*(y-2)+7*x-6*x-7*y+1 = 0
  • 7*x-6*x+3*y-7*y-6+1 = 0
  • x+3*y-7*y-6+1 = 0
  • x-4*y-6+1 = 0
  • x-4*y-5 = 0
  • x-4*y-5 = 0 // - x-5
  • -4*y = -(x-5) // : -4
  • y = (-(x-5))/(-4)
  • y = (5-x)/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*(x-((5-x)/(-4)))-(4*(x+2))+5*((5-x)/(-4))+18 = 0| y = (5-x)/(-4)
  • 2*((-1*(5-x))/(-4)+x)-1*4*(x+2)+(5*(5-x))/(-4)+18 = 0
  • 5/4*x-5/2*x-25/4-11/2+18 = 0
  • 18-5/4*x-47/4 = 0
  • 25/4-5/4*x = 0
  • 25/4-5/4*x = 0 // - 25/4
  • -5/4*x = -25/4 // : -5/4
  • x = -25/4/(-5/4)
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (5-x)/(-4): 
  • y = (5-5)/(-4)
  • y = 0/(-4)
  • y = 0
  • We get a system of equations:
  • /| y = 0| x = 5

 

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