Linear and other Functions

We are looking for a point, (x, y), where these two lines intersect. While there are many ways to solve for x and y given two equations, the simplest way I see is to use the elimination method since by adding the two equations together, we can eliminate the x variable.

7y=7

Dividing both sides by 7, we isolate y.

y=1

Now, we can plug y back into either equation and solve for x.

2x+(5)(1)=8

2x+5=8

Next, we can solve for x.

2x=3

${\displaystyle x=(3/2)}$

Therefore, the point where these two lines intersect is ${\displaystyle \left(\frac{3}{2},1\right)}$