Solve for $$ w $$. $$ \frac{4}{5}=\frac{7}{w+2} $$ Simplify your answer as much as possible. $$ w=\square $$

Question

UpStudy AI · Accepted Answer

To solve for $$ w $$ in the equation:

$$
\frac{4}{5} = \frac{7}{w + 2}
$$

**Step 1:** Cross-multiply to eliminate the fractions.

$$
4(w + 2) = 5 \times 7
$$

**Step 2:** Distribute and simplify.

$$
4w + 8 = 35
$$

**Step 3:** Subtract 8 from both sides.

$$
4w = 35 - 8
$$
$$
4w = 27
$$

**Step 4:** Divide both sides by 4 to solve for $$ w $$.

$$
w = \frac{27}{4}
$$

So, the solution is:

$$
w = \frac{27}{4}
$$
$$ w = \frac{27}{4} $$

Solve for \( w \). \[ \frac{4}{5}=\frac{7}{w+2} \] Simplify your answer as much as possible. \( w=\square \)