Question

svlc algebra 1a - standard (15260)
literal equations
solve for a.
7a - 2b = 5a + b
options:
a = \frac{2}{3}b
a = 2b
a = 3b
a = \frac{3}{2}b

Explanation:

Step1: Isolate terms with \(a\)

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

Step2: Isolate terms with \(b\)

Add \(2b\) to both sides:
\(2a - 2b + 2b = b + 2b\)
Simplify: \(2a = 3b\)

Step3: Solve for \(a\)

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

Answer:

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