## airrbae 2 years ago What is the solution for this system of linear equations? I'm stuck, y=-2x+1 y+7x-17 so -2x+1=7x-17 ??

1. satellite73

if the second one is $$y=7x-17$$ then yes

2. satellite73

$-2x+1=7x-17$

3. satellite73

add $$2x$$ to both sides add $$17$$ to both sides divide both sides by $$9$$ will get you $$x$$

4. satellite73

5. airrbae

so I get 1=9x-17 then 9 divided 18 = 2? so x=2?

6. satellite73

you got it

7. airrbae

how would I find y with this one?

8. satellite73

then of course you have to find $$y$$ but since you know $$x=2$$ that should be easy

9. satellite73

replace $$x$$ by $$2$$ in either equation if you want to check to make sure your answer is right, put $$2$$ for $$x$$ in both and see if you get the same number

10. airrbae

is y=15? or y=3? I got a different answer when I pluged 2 into both problems /:

11. satellite73

should be the same lets check

12. satellite73

$y=-2x+1$ $y=-2\times 2+1=-4+1=-3$

13. satellite73

$y=7x-17$ $y=7\times 2-17=14-17=-3$

14. satellite73

so you should get $$y=-3$$ for both, i am not exactly sure how you got the 15

15. airrbae

okay now I see what I did wrong there, hmmm! thank you for showing both, I wouldn't have seen it if you hadn't!

16. satellite73

yw