Question

$\frac{(x + 4)}{4} = \frac{(5x - 2)}{7}$
​

Answer 1

Hola!

Respuesta:

$x = \frac{36}{13}$

Explicación paso a paso:

$\frac{(x + 4)}{4} = \frac{(5x - 2)}{7} \\ 7(x + 4) =4( 5x - 2) \\ 7x + 28 = 20x - 8 \\ 28 + 8 = 20x - 7x \\ 36 = 13x \\ \frac{36}{13} = x \\ x = \frac{36}{13}$

₪) Comprobación:

$\frac{(x + 4)}{4} = \frac{(5x - 2)}{7} \\ 7(x + 4) =4( 5x - 2) \\7(\frac{36}{13}+4)=4(5(\frac{36}{13})-2)\\7(\frac{88}{13})=4(\frac{180}{13}-2)\\\frac{154}{13}=\frac{180}{13}-2\\\frac{154}{13}=\frac{180-26}{13}\\\frac{154}{13}=\frac{154}{13}\\1=1$