## Dwalsh 2 years ago find the point of intersection of the two lines 2x-y=17 3x+y=13

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1. ParthKohli

$y = 2x - 17 \\ y = -3x + 13$Here is what you get doing a little work.

2. ParthKohli

To find the intersection of two lines, just solve the system of equations.

3. Dwalsh

can u finish the problem im really confused on this id really appreciate it

4. geerky42

Look closely. We know that $$y=2x−17$$ and we also know that $$y=−3x+13$$ so I can have them equal to each other, like $$\large y=2x−17 \text{ & } y=−3x+13 \Rightarrow 2x-17 = -3x + 13$$ Is this clear?

5. geerky42

$y = 2x - 17$$y = -3x +13$ |dw:1359305952937:dw| $2x - 17 = -3x + 13$

6. geerky42

So you know what to do right now?

7. Dwalsh

yes solve for x right

8. geerky42

Yeah, then plug it into any equation then solve for y.

9. precal

|dw:1359307967977:dw|can you solve for x

10. precal

I am using the addition method since I know that +y-y=0

11. precal

once you find the x value, plug that into either equation to find your y value then you are done...........