## airrbae 2 years ago What is the solution for this system of linear equations? please explain!! y=x-8 y=8x-71

1. yoyointegrals

set them equal to eachother, you will end up with x-8 = 8x -71, solve for x

2. airrbae

then what do you do? im confused?

3. yoyointegrals

start by adding 71 to both sides

4. airrbae

x=63?

5. yoyointegrals

close, divide by the coefficient of the x

6. airrbae

whats the coefficient?

7. yoyointegrals

7

8. airrbae

so I have 8x-71=1x=8 explain to me what I do from here? I subtract 71 from both sides here?

9. satellite73

i would start by subtracting \(x\) from both sides, to put all the terms with \(x\) on the left

10. satellite73

in other words get \(7x-71=-8\)

11. electrokid

solution of a set of equation means |dw:1364000497143:dw| find the point P(x,y) which satisfies all the equations.

12. satellite73

then add 71 to both sides to get \[7x=63\] and finally divide both sides by \&\)

13. satellite73

that, is , finally divide both sides by \(7\)

14. airrbae

15. yoyointegrals

correct.

16. airrbae

so how would I find y now since I know x?

17. satellite73

you replace \(x\) by \(9\) in either equation

18. airrbae

wait, is y=1?

19. satellite73

yes

20. satellite73

\[y=x-8\] \[y=9-8=1\]

21. airrbae

omg thank you so much! you're amazing!

22. krissywatts

set them side by side like this: x-8=8x-71 subtract -8 on both sides and add 8 to both sides now you should get -7x=-63

23. satellite73

yw (if you meant me, if not, then yw from everyone )

24. krissywatts

now plug byour answer back into the first equation to get y