Question

solve each equation for the indicated variable.
a. $3x - 2y = 18$ for $x$

Explanation:

Step1: Isolate the term with $x$

Add $2y$ to both sides of the equation:
$3x - 2y + 2y = 18 + 2y$
Simplify to get: $3x = 18 + 2y$

Step2: Solve for $x$

Divide both sides by 3:
$\frac{3x}{3} = \frac{18 + 2y}{3}$
Simplify the right-hand side: $x = \frac{18}{3} + \frac{2y}{3}$

Answer:

$x = 6 + \frac{2y}{3}$ or $x = \frac{2y + 18}{3}$