Question

solve the equation for the variable indicated.
$ax + z = aw - y$, for $a$

Explanation:

Step1: Move terms with \(a\) to one side

Subtract \(aw\) and \(z\) from both sides: \(ax - aw = -y - z\)

Step2: Factor out \(a\)

Factor \(a\) from the left side: \(a(x - w) = -y - z\)

Step3: Solve for \(a\)

Divide both sides by \(x - w\): \(a = \frac{-y - z}{x - w}\) (or simplify to \(a = \frac{y + z}{w - x}\) by multiplying numerator and denominator by -1)

Answer:

\(a = \frac{-y - z}{x - w}\) (or \(a = \frac{y + z}{w - x}\))