12x-7y=-22;y=4x+10

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

Solution for 12x-7y=-22;y=4x+10 system of equations: 


  • /| 12*x-(7*y)+22 = 0| y-(4*x)-10 = 0
  • We try to solve the equation: 12*x-(7*y)+22 = 0
  • 12*x-7*y+22 = 0 // - 12*x+22
  • -7*y = -(12*x+22) // : -7
  • y = (-(12*x+22))/(-7)
  • y = (12*x+22)/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (12*x+22)/7-(4*x)-10 = 0| y = (12*x+22)/7
  • (12*x+22)/7-4*x-10 = 0
  • 22/7-16/7*x-10 = 0
  • -16/7*x-48/7 = 0
  • -16/7*x-48/7 = 0 // + 48/7
  • -16/7*x = 48/7 // : -16/7
  • x = 48/7/(-16/7)
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (12*x+22)/7: 
  • y = (22-3*12)/7
  • y = (22-36)/7
  • y = -14/7
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = -3

 

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