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

1 Answer

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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=(30-7b)/(2)

Now, in eq (2)


3((30-7b)/(2))-2b=20

a = 8

b = 2

The answer would be a = 8 and b = 2

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