-3x+4y=1;-10x-12y=-22

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

Solution for -3x+4y=1;-10x-12y=-22 system of equations: 


  • /| 4*y-3*x-1 = 0| 22-10*x-(12*y) = 0
  • We try to solve the equation: 4*y-3*x-1 = 0
  • 4*y-3*x-1 = 0 // + -3*x-1
  • 4*y = -(-3*x-1) // : 4
  • y = (-(-3*x-1))/4
  • y = (1-(-3*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 22-(12*((1-(-3*x))/4))-10*x = 0| y = (1-(-3*x))/4
  • (-1*12*(3*x+1))/4-10*x+22 = 0
  • 22-19*x-3 = 0
  • 19-19*x = 0
  • 19-19*x = 0 // - 19
  • -19*x = -19 // : -19
  • x = -19/(-19)
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (1-(-3*x))/4: 
  • y = (1-(-3*1))/4
  • y = (1+3)/4
  • y = 4/4
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 1

 

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