Question

Consider the following two linear equations -2x+4y=4 "2x+8y=8" solve for the point of intersection

Answer 1

`- 2x + 4y = 4`

`2x + 8y = 8`

Add the systems together:

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

`12y = 12`

`y = 1`

Substitute y=1 in any equation:

`2x + 8(1) = 8`

`2x + 8 \: = 8`

`2x = 0`

`x = 0`

Define point A as the intersection between the two lines:

`a(0. \: .1)`