# How do you solve (a+4)/2 = (a+4)/a?

Jun 7, 2016

2, -4.

#### Explanation:

By first cross-multiplying 7 then trasposing, the eqn. becomes,
a(a+4)-2(a+4)=0, i.e., (a+4)(a-2)=0.

Hence the soln. : a=-4, a=2.

Jun 7, 2016

$a = 2$

#### Explanation:

As the top values (numerators) are of the same value we could disregard them and simply write $a = 2$

However, I suspect the that question poser is looking for you to use algebraic manipulation. So hear goes!

Invert both sides giving:

$\frac{2}{a + 4} = \frac{a}{a + 4}$

Multiply both sides by $\left(a + 4\right)$ giving:

$2 \times \frac{a + 4}{a + 4} = a \times \frac{a + 4}{a + 4}$

But $\frac{a + 4}{a + 4} = 1$

$2 \times 1 = a \times 1$

$a = 2$