Question

This is GEometry: Solve the following system of equations by graphing
y=x-4
2y=-x+10

Answer 1

I LOVE THESE! I'll give you the algebraic answer.

Answer 2

yayyyyyyyy :D

Answer 3

You can graph it by doing this:
y=x-4
y = (-x +10)/2 or: y = -1/2x + 5

I'll explain it via algebra next. :P

Answer 4

since you know y = x-4, plug the (x-4) as your Y value in the second equation:

2(x-4) = -x + 10
2x - 8 = -x + 10
2x = -x + 18
3x = 18
x = 6

BOO YA!
(lemme double check this first. :P)

Answer 5

oh ok

Answer 6

So, the point of intersection should be (6,2).
The two came from plugging in 6 and doing 6-4=y and y = 2.

We test from here: 2y=-x+10
2(2) = -(6)+10
4 = 4

It's true. There's your answer. (6,2)

^_^

Answer 7

Thank you so much! :3

Answer 8

No problem, ma'am! Thanks for the trophy. Keep the trophies comin' and I'll keep the answers coming. :P

Answer 9

yay!!!!!!!!!!! i like the way you think