Question

4n=1/2(2n-12) check the solution to the example problem by replacing n in the original equation with -2 and evaluating both sides. What true statement do you get?

Answer 1

Answer:

The true statement is that the expression is satisfied for n = -2.

Step-by-step explanation:

Given:

$4n = \frac{1}{2}\times (2n-12)$

To check:

Left hand side = Right-hand side ( for n = -2)

Proof :

For n = -2

Consider  Left hand side of the equation given above.

∴ Left hand side = 4n

                            = 4×(-2)   ......................for n = -2

                            = -8

Consider Right-hand side of the equation given above

∴ Right-hand side = $\frac{1}{2}\times (2n-12)$

                              $=\frac{1}{2}\times (2\times(-2) - 12) \\= \frac{1}{2}\times (-4 - 12)\\ =\frac{1}{2}\times (-16)\\ =-8$

Now we get Left hand side equal to Right hand side

i.e. Left hand side = Right hand side

i.e. $4n = \frac{1}{2}\times (2n-12)$ is true for n = -2