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IrinaK [193]
3 years ago
12

Solve for x using common denominators. 4/7 (x+6) = x/(x+6)​

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

The value of x = 4/7

Step-by-step explanation:

Given the expression

\frac{4}{7\left(x+6\right)}=\frac{x}{x+6}

\frac{4}{7\left(x+6\right)}-\frac{x}{x+6}=0

Multiply the numerator and denominator of \frac{x}{x+6} by 7

\frac{4}{7\left(x+6\right)}-\frac{7x}{7\left(x+6\right)}=0

Now taking the denominator \frac{1}{7\left(x+6\right)} as common

\frac{1}{7\left(x+6\right)}\left(4-7x\right)=0

\frac{4-7x}{7\left(x+6\right)}=0

\frac{f\left(x\right)}{g\left(x\right)}=0\quad \Rightarrow \quad f\left(x\right)=0

4-7x=0

Subtract 4 from both sides

4-7x-4=0-4

Simplify

-7x=-4

Divide both sides by -7

\frac{-7x}{-7}=\frac{-4}{-7}

Simplify

x=\frac{4}{7}

Therefore,

The value of x = 4/7

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