Question

Porfas el paso a paso

Answer 1

Respuesta:

$x=-\frac{45}{16}$

Explicación paso a paso:

$\frac{4}{9}x+\frac{3}{4}=-\frac{1}{2}$

$\frac{4}{9}x=-\frac{1}{2}-\frac{3}{4}$

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• $-\frac{1}{2}-\frac{3}{4}$

Sacamos el MCM de 2 y 4:

02-04 l 2

01-02 l 2

01- 01 l

MCM = 2x2 = 4

$-\frac{1}{2}-\frac{3}{4}=-\frac{2}{4}-\frac{3}{4}=\frac{-2-3}{4}=\frac{-5}{4}=-\frac{5}{4}$

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$\frac{4}{9}x=-\frac{5}{4}$

$9\cdot \frac{4}{9}x=9\left(-\frac{5}{4}\right)$

• $9\cdot \frac{4}{9}x= 4x$
• $9\left(-\frac{5}{4}\right)=-\frac{45}{4}$

$4x=-\frac{45}{4}$

$x=\frac{-\frac{45}{4}}{4}=-\frac{\frac{45}{4}}{4}=-\frac{45}{4\cdot \:4}=-\frac{45}{16}$

$x=-\frac{45}{16}$