Question

Can someone help me with this? I cannot figure it out

Answer 1

Explanation:

To graph by hand I would first convert both equations into y=mx+b.

We start with:

`\left \{ {{2x-2y=4} \atop {x+2y=8}} \right.`

Solve for y for 2x-2y=4

`2x+2y=4\\2y=4-2x\\y=2-x`

Solve for y for x+2y=8

`x+2y=8\\2y=8-x\\y=4-(x)/(2)`

Giving the new but equal system of equations:

`\left \{ {{y=2x-x} \atop {y=4-(x)/(2) }} \right.`

From this point on you can graph the two functions to find where the two lines intersect, thats your solution.

I've gone ahead and graphed it on desmos for you