What is the value of $$ a $$ in the equation below? $$ \frac{10 a}{3}-1.5=17.5 $$

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UpStudy AI · Accepted Answer

To find the value of $$ a $$ in the equation:

$$
\frac{10 a}{3} - 1.5 = 17.5
$$

follow these steps:

### Step 1: Add 1.5 to Both Sides
Start by isolating the term containing $$ a $$. Add 1.5 to both sides of the equation to eliminate the constant term on the left side.

$$
\frac{10 a}{3} - 1.5 + 1.5 = 17.5 + 1.5
$$

This simplifies to:

$$
\frac{10 a}{3} = 19
$$

### Step 2: Eliminate the Fraction
To remove the denominator (which is 3) from the left side, multiply both sides of the equation by 3.

$$
3 \times \frac{10 a}{3} = 19 \times 3
$$

This simplifies to:

$$
10 a = 57
$$

### Step 3: Solve for $$ a $$
Finally, divide both sides by 10 to solve for $$ a $$.

$$
a = \frac{57}{10} = 5.7
$$

### Conclusion

The value of $$ a $$ is **5.7**.
$$ a = 5.7 $$

What is the value of \( a \) in the equation below? \[ \frac{10 a}{3}-1.5=17.5 \]

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