Question

Answer below please!

Answer 1

Answer:

$x=-\frac{11}{18}$

Step-by-step explanation:

$-1\frac{7}{9}=(-2\frac{5}{6} + \frac{1}{3})x$

Solve parenthesis first

$-2\frac{5}{6} + 1/3$

Find a common denominator.

The common denominator would be 6.

Because the first expression already has a denominator of 6 it stays the same.

$\frac{1}{3} = \frac{2}{6}$

$-2\frac{5}{6} + \frac{2}{6} = -2\frac{7}{6} = -1\frac{1}{6}$

Put that into the original equation.

$-1\frac{7}{9}=(-1\frac{1}{6} )x$

Isolate the x. Add $1\frac{1}{6}$ to each side.

$-1\frac{7}{9}+ 1\frac{1}{6}=x$

Find a common denominator.

we can use 18 as the common denominator.

$-1\frac{7}{9}+ 1\frac{1}{6}= -1 \frac{14}{18} +1\frac{3}{18}= x$

Add.

$-\frac{11}{18} =x$

We cannot simplify so our answer stays the same.