Question

ecuacion
$\frac{3x - 1}{4} = \frac{4x + 2}{5}$
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Answer 1

Respuesta:

x = -13

 

Explicación paso a paso:

$\dfrac{3x - 1}{4}=\dfrac{4x+2}{5}\\\\5(3x-1)=4(4x+2)\\\\5*3x+5*-1=4*4x+4*2\\\\15x-5=16x+8\\\\-5-8=16x-15x\\\\-5-8=x\\\\\boxed{x=-13}$

 

Comprobación:

$\dfrac{3x - 1}{4}=\dfrac{4x+2}{5}\\\\\dfrac{3(-13)- 1}{4}=\dfrac{4(-13)+2}{5}\\\\\dfrac{-39 - 1}{4}=\dfrac{-52+2}{5}\\\\\dfrac{-40}{4}=\dfrac{-50}{5}\\\\\boxed{-10=-10}$