Question

edited

Answer 1

@iambatman @ganeshie8

Answer 2

you want a point that satisfies both the equations
y = x-2
y = -2x+7

Answer 3

since the left hand sides are equal, the right hand sides also must be equal.
set them equal and solve x first :
\[x-2 ~= ~-2x+7\]

Answer 4

What next?

Answer 5

Yes I see how you combined them, that part makes sense I think

Answer 6

group like terms and isolate x

Answer 7

maybe start by adding 2x both sides

Answer 8

\[x-2 ~= ~-2x+7\\\color{gray}{+2x~~~~~~~~~~~+2x~~~~~~~~~~}\]

Answer 9

\[3x-2 = 7\]

Answer 10

does that make it\[3x-2=7\]

Answer 11

yes haha :D

Answer 12

Ok and then add 2 to both sides?

Answer 13

yes your goal is to isolate x

Answer 14

3x=9
x=3

Answer 15

So theres the x part. What about y?

Answer 16

Correct! plug that back into any of the given equations and solve y

Answer 17

y=-2x+7
y=-2(3)+7
y=-6+7
y=1

Answer 18

YAY!!! Thanks so much!!!for your help!

Answer 19

good job! yw:)