Question

which equations have the same value as x as 5/6x+2/3=-9? Check all that apply.

Answer 1

Answer:

Given Equation:

$\frac{5}{6x}+\frac{2}{3}=-9$

We have to find whose solution is also same as given equation.

Consider,

$\frac{5}{6x}+\frac{2}{3}=-9$

$\frac{5\times3+2\times6x}{3\times6x}=-9$

$\frac{15+12x}{18x}=-9$

$15+12x=-9\times18x$

$15+12x=-162x$

$15+12x+162x=0$

$174x+15=0$

Solution is , $x=\frac{-15}{174}=\frac{-5}{58}$

Answer 2

Answer:

$Value \:of \:x = \frac{-58}{5}$

Step-by-step explanation:

$Given\: linear:equation\: in\\one \: variable \: x is:\\</p><p>\frac{5x}{6}+\frac{2}{3}=-9$

$\implies \frac{5x}{6}=-\frac{2}{3}-9$

$\implies \frac{5x}{6}=\frac{-2-27}{3}$

$\implies \frac{5x}{6}=\frac{-29}{3}$

$\implies x = \frac{-29}{3}\times \frac{6}{5}$

$\implies x = \frac{-29\times 2}{5}\\=\frac{-58}{5}$

Therefore,

$Value \:of \:x = \frac{-58}{5}$

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