# How do you determine whether (6,4) is a solution of 7x+9y=2?

Mar 6, 2018

NO

#### Explanation:

We have, $7 x + 9 y = \textcolor{red}{2}$
For (6,4), we take $x = 6 \mathmr{and} y = 4$ in LHS.
So, $L H S = 7 \left(6\right) + 9 \left(4\right) = 42 + 36 = 78 \ne \textcolor{red}{2}$
Hence, $L H S \ne R H S \Rightarrow \left(6 , 4\right)$, is not a solution of 7x+9y=2

Mar 6, 2018

If a given plane point is solution of a linear equation, then it verifies the equation. Lets see
$\left(6 , 4\right)$ are the coordinates of a plane point where the first is the value of x, and the second one is the value of y.
7·6+9·4=42+36=78!=2#. Then, the given point is not a solution of $7 x + 9 y = 2$