Question

solve for w.

\\3 = \frac{8}{w + 7}\\

simplify your answer as much as possible.

Explanation:

Clear the fraction

To solve for \(w\), we first eliminate the denominator by multiplying both sides of the equation by \(w + 7\).
Using the Linear Equations knowledge point:

$$ 3(w + 7) = 8 $$

Distribute the constant

Distribute the \(3\) to both terms inside the parentheses.

$$ 3w + 21 = 8 $$

Isolate the variable term

Subtract \(21\) from both sides of the equation to isolate the term with \(w\).

$$ 3w = 8 - 21 $$

$$ 3w = -13 $$

Solve for w

Divide both sides by \(3\) to find the value of \(w\).

$$ w = -\frac{13}{3} $$

Answer:

Solve for \(w\).

$$3 = \frac{8}{w+7}$$

Simplify your answer as much as possible.
\(w =\) <blank>\(-\frac{13}{3}\)</blank>