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solve the proportion and check. $\frac{a}{a + 3}=\frac{3}{2}$ the solut…

Question

solve the proportion and check. $\frac{a}{a + 3}=\frac{3}{2}$ the solution set is (type an integer or a simplified fraction.)

Explanation:

Step1: Cross - multiply

$3(a + 3)=2a$

Step2: Expand the left - hand side

$3a+9 = 2a$

Step3: Subtract $2a$ from both sides

$3a-2a+9=2a - 2a$
$a+9 = 0$

Step4: Subtract 9 from both sides

$a=-9$

Answer:

$-9$