Question

Without solving, what can you tell about the solution to this equation? 1/2(b+14) = b+14/2

Answer 1

Answer:

they are not equal. As on L.H.S half b and 7 is present but on R.H.S half b is not present but 7 is present.

Answer 2

We need to recall the following definition.

A solution is a value of an unknown variable that makes the equality in the equation true.

Given:

$\frac{1}{2}(b+14)=b+\frac{14}{2}$

Let's solve the equation.

$\frac{1}{2}(b+14)=b+7$

$b+14=2(b+7)$

$b+14=2b+14$

$b=2b$

$2b-b=0$

$b=0$

Hence, the only solution to the given equation is $b=0$.