Question

literal equations
solve for a.
$7a - 2b = 5a + b$
options:
$a = \frac{2}{3}b$ (marked wrong)
$a = 2b$
$a = 3b$
$a = \frac{3}{2}b$

Explanation:

Step1: Isolate terms with \(a\)

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

Step2: Simplify both sides

\(2a = 3b\)

Step3: Solve for \(a\)

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

Answer:

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