4a+3s=31;7a+5s=53.25

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Solution for 4a+3s=31;7a+5s=53.25 system of equations: 


  • /| 4*a+3*s-31 = 0| 7*a+5*s-53.25 = 0
  • We try to solve the equation: 4*a+3*s-31 = 0
  • 4*a+3*s-31 = 0 // - 4*a-31
  • 3*s = -(4*a-31) // : 3
  • s = (-(4*a-31))/3
  • s = (31-(4*a))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*((31-(4*a))/3)+7*a-53.25 = 0| s = (31-(4*a))/3
  • (5*(31-4*a))/3+7*a-53.25 = 0
  • 1/3*a-53.25+155/3 = 0
  • 1/3*a-1.58333333 = 0
  • 1/3*a-1.58333333 = 0 // + 1.58333333
  • 1/3*a = 1.58333333 // : 1/3
  • a = 1.58333333/1/3
  • a = 4.75000004
  • We insert the solution into one of the initial equations of our system of equations
  • For s = (31-(4*a))/3: 
  • s = (31-(4*4.75000004))/3
  • s = (31-19.00000016)/3
  • s = 11.99999984/3
  • s = 3.99999995
  • We get a system of equations:
  • /| s = 3.99999995| a = 4.75000004

 

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