Questions: Solve and check the equation. 9x/5 - 3 = 33 Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The solution set is . (Type an integer or a simplified fraction.) B. The solution set is ( x x is a real number). C. The solution set is ∅.

$Solve and check the equation. 9x/5 - 3 = 33 Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The solution set is . (Type an integer or a simplified fraction.) B. The solution set is ( x x is a real number). C. The solution set is ∅.$

Transcript text: Solve and check the equation. \[ \frac{9 x}{5}-3=33 \] Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The solution set is $\{$. (Type an integer or a simplified fraction.) $\square$ B. The solution set is ( $x \mid x$ is a real number). C. The solution set is $\varnothing$.

Solution

Solution Steps

To solve the equation $\frac{9x}{5} - 3 = 33$, we need to isolate the variable $x$. First, add 3 to both sides of the equation to eliminate the constant term on the left side. Then, multiply both sides by 5 to clear the fraction. Finally, divide by 9 to solve for $x$.

Step 1: Isolate the Variable

Starting with the equation: \[ \frac{9x}{5} - 3 = 33 \] we add 3 to both sides: \[ \frac{9x}{5} = 36 \]

Step 2: Clear the Fraction

Next, we multiply both sides by 5 to eliminate the fraction: \[ 9x = 180 \]

Step 3: Solve for $x$

Now, we divide both sides by 9: \[ x = 20 \]