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For what value of x will (3 + x)/(5 + x) and (1 + x)/(4 + x) be equal?

 Dec 26, 2021
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(3 + x)/(5 + x)    =    (1 + x)/(4 + x)       cross multiply

 

(x+3)(x+4)   = ( x+1)(x+5)                   expand

x^2 + 7x + 12   =   x^2 +6x + 5            simplify

x = - 7

 Dec 26, 2021

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