-3a+4b=31;6a-b=-13

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Solution for -3a+4b=31;6a-b=-13 system of equations: 


  • /| 4*b-3*a-31 = 0| 6*a-b+13 = 0
  • We try to solve the equation: 4*b-3*a-31 = 0
  • 4*b-3*a-31 = 0 // + -3*a-31
  • 4*b = -(-3*a-31) // : 4
  • b = (-(-3*a-31))/4
  • b = (31-(-3*a))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*a-((31-(-3*a))/4)+13 = 0| b = (31-(-3*a))/4
  • (-1*(3*a+31))/4+6*a+13 = 0
  • 21/4*a-31/4+13 = 0
  • 21/4*a+21/4 = 0
  • 21/4*a+21/4 = 0 // - 21/4
  • 21/4*a = -21/4 // : 21/4
  • a = -21/4/21/4
  • a = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For b = (31-(-3*a))/4: 
  • b = (31-(-3*(-1)))/4
  • b = (31-(1*3))/4
  • b = (31-3)/4
  • b = 28/4
  • b = 7
  • We get a system of equations:
  • /| b = 7| a = -1

 

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