Question

solve for a.
$7a - 2b = 5a + b$
$\circ$ $a = 2b$
$\circ$ $a = 3b$
$\circ$ $a = \frac{3}{2}b$
$\circ$ $a = \frac{2}{3}b$

Explanation:

Step1: Move terms with a to left and b to right

Subtract \(5a\) from both sides and add \(2b\) to both sides:
\(7a - 5a = b + 2b\)

Step2: Simplify both sides

Simplify left side: \(2a\), right side: \(3b\):
\(2a = 3b\)

Step3: Solve for a

Divide both sides by 2:
\(a = \frac{3}{2}b\)

Answer:

\(a = \frac{3}{2}b\) (corresponding to the option \(a = \frac{3}{2}b\))