# How do you determine whether or not the point (3,2) are solutions of 2x+3y=12?

Dec 12, 2016

$\left(3 , 2\right) \text{ is a solution to the equation}$

#### Explanation:

If (3 ,2) is a solution then it must 'satisfy' the equation. That is make it True.

To determine this, substitute x = 3 and y = 2 into the left side of the equation and if the result is 12 then it is a solution.

$\Rightarrow \left(2 \times 3\right) + \left(3 \times 2\right) = 6 + 6 = 12$

$\text{LHS = RHS hence (3,2) is a solution}$