5a+b=1;-3a-7b=25

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Solution for 5a+b=1;-3a-7b=25 system of equations:


  • /| 5*a+b-1 = 0| -3*a-(7*b)-25 = 0
  • We try to solve the equation: 5*a+b-1 = 0
  • 5*a+b-1 = 0 / - 5*a-1
  • b = -(5*a-1)
  • b = 1-(5*a)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(7*(1-(5*a)))-3*a-25 = 0| b = 1-(5*a)
  • -1*7*(1-5*a)-3*a-25 = 0
  • 32*a-25-7 = 0
  • 32*a-32 = 0
  • 32*a-32 = 0 / + 32
  • 32*a = 32 / : 32
  • a = 32/32
  • a = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For b = 1-(5*a):
  • b = 1-(1*5)
  • b = 1-5
  • b = -4
  • We get a system of equations:
  • /| b = -4| a = 1

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