Question

At which point will the graphs of the equations 2x + y = 8 and x - y = 4 intersect?

Answer 1

Set them both equal to Y, and then set the functions equal

Answer 2

y = -2x = 8 and y = x-4

Answer 3

\[-2x - 8=x-4\]

Answer 4

I'm assuming you meant

y = -2x + 8 and y = x - 4

Answer 5

thats what i wrote

Answer 6

yeah thats what i meangt

Answer 7

-2x+8=x-4
solve

Answer 8

As Luigi is showing...you then set them equal to each other and solve for 'x'

-2x + 8 = x - 4

Answer 9

x = 4

Answer 10

right, now you can take that 'x' value...and plug it into either of your equations

y = -2x + 8

y = x - 4

replace the 'x' with (4) and see what 'y' equals...

Answer 11

y = 0

Answer 12

ohhh i get it thanks

Answer 13

Right, so these graphs will intersect at (4,0)

No problem