Question

solve for b.
$l = \frac{a + b}{7}$
$b = q$

Explanation:

Step1: Multiply both sides by 7

To eliminate the denominator on the right - hand side, we multiply both sides of the equation \(L=\frac{a + b}{7}\) by 7. Using the property of equality (if \(x=y\), then \(cx = cy\) for any non - zero \(c\)), we get \(7\times L=7\times\frac{a + b}{7}\). Simplifying the right - hand side, the 7 in the numerator and denominator cancels out, so we have \(7L=a + b\).

Step2: Subtract a from both sides

To isolate \(b\), we use the subtraction property of equality (if \(x=y\), then \(x - z=y - z\)). Subtract \(a\) from both sides of the equation \(7L=a + b\). We get \(7L-a=a + b-a\). Simplifying the right - hand side, \(a - a = 0\), so \(b = 7L-a\).

Answer:

\(b = 7L - a\)