Solve the following proportion: $$ \frac{-4 m-3}{-2}=\frac{-5}{3} $$

Question

UpStudy AI · Accepted Answer

To solve the proportion:

$$
\frac{-4m - 3}{-2} = \frac{-5}{3}
$$

**Step 1: Cross-Multiply**

Multiply the numerator of one fraction by the denominator of the other and set them equal:

$$
(-4m - 3) \times 3 = (-5) \times (-2)
$$

**Step 2: Distribute and Simplify**

$$
-12m - 9 = 10
$$

**Step 3: Solve for $$ m $$**

1. Add 9 to both sides:

$$
-12m = 19
$$

2. Divide both sides by -12:

$$
m = \frac{19}{-12} = -\frac{19}{12}
$$

**Final Answer:**

$$
m = -\frac{19}{12}
$$
$$ m = -\frac{19}{12} $$

Solve the following proportion: \[ \frac{-4 m-3}{-2}=\frac{-5}{3} \]