Question

How do you solve for x and y in the equation `4x+2y=98`?

Answer 1

I don't know the formal way of doing this, but here's the way I would do it.

`4x+2y=98`

`=>2x+y=49`

Now you know that

`2-1=1`

`=>2(1)+1(-1)=1`

Multiplying both sides by `49` you have,

`2(49)+1(-49)=49`

Now, multiply both sides by `2`,

`4(49)+2(-49)=98`

Compare this the original equation `4x+2y=98`

You see that `x=49` and `y=-49`

Alternatively,

By graphing that equation: `4x+2y=98`
You discover that they are infinitely many solutions for this.

Each point `(x,y)` is a possible solution

graph{-2x+49 [-50, 50, -50, 75]}