# How do you know whether the given value is a solution of the equation: 9m-7m-5=17, and m=11?

Nov 15, 2016

$L H S = R H S \text{ } \rightarrow m = 11$ is the correct solution

#### Explanation:

You could solve the equation for yourself and see if the solution comes out as 11.

Or, substitute the value $11$ for every $m$.

If you end up with a TRUE statement, then $11$ is the solution.

If the statement is FALSE, then $m$ is not the solution.

$L H S : 9 m - 7 m - 5 \text{ } R H S : 17$

$= 9 \left(11\right) - 7 \left(11\right) - 5$

$= 99 - 77 - 5$

$= 17$.

$L H S = R H S \text{ } \rightarrow m = 11$ is the correct solution