Question 852609
In the point (3,8), x = 3 and y = 8. 

When I replace x with 3 and y with 8 in both equations given and do the math, the answer is not the same on both sides of the linear equations. So, the point (3,8) is not a solution to this system of linear equations. 

The Prove

Let x = 3
Let y = 8

2x+y=14

2(3)  + 8 = 14

6 + 8 = 14

14 = 14

It works for this equation. Let us now do the same with the other equation. 

3x-2y=7

3(3) - 2(8) = 7

9 - 16 = 7

-7 DOES NOT = 7

Since the point (3,8) does not produce the same answer on both sides of each equation, the given point is not a solution to this system of linear equations.

Understand?