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2 months ago

G = x-c/x solve for x

Mathematics

2 answers:

tester [12.3K]2 months ago

6 0

Response:

The value we are looking for is $x=\frac{-c}{g-1}$ or $x=\frac{c}{1-g}$

Step-by-step guide:

Examine the given equation.

Our goal is to isolate x in the equation.

$g =\frac{x-c}{x}$

Multiply both sides by x.

$gx =x-c$

Subtract x from each side.

$gx-x=-c$

$x(g-1)=-c$

Now, divide each side by g-1.

$\frac{x(g-1)}{g-1}=\frac{-c}{g-1}$

$x=\frac{-c}{g-1}$ or $x=\frac{c}{1-g}$

Therefore, the necessary value is $x=\frac{-c}{g-1}$ or $x=\frac{c}{1-g}$

lawyer [12.5K]2 months ago

5 0

Solution:

x= $\frac{c}{1-g}$

Detailed breakdown:

Step 1: Begin by multiplying every term by x,

gx=−c+x

Step 2: Subtract x from both sides.

gx−x=−c+x−x

gx−x=−c

Step 3: Isolate x by factoring it out.

x(g−1)=−c

Step 4: Split both sides by g-1.

$\frac{x(g-1)}{g-1} =\frac{-c}{g-1\\}$

x= $\frac{c}{1-g}$

Hope this is helpful!

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