Question

9. The lengths of the rectangle are labeled below. Solve for a and b.2a + 7b203a - 2b30

Answer 1

Input data

2a + 7b = 30

3a - 2b = 20

Procedure

Solving a two linear system equations

$\begin{gathered} 2a+7b=30 \\ 3a-2b=20 \end{gathered}$

Now, from (1)

$a=\frac{30-7b}{2}$

Now, in eq (2)

$3(\frac{30-7b}{2})-2b=20$

a = 8

b = 2

The answer would be a = 8 and b = 2