Question

Question #b2f17

Answer 1

`y = -4.5` and `x = 4.75`

Explanation:

First, let's try to solve the first equation, which is `2x=14+y`
We will add `-y` to both sides. `2x+(-y)=14+y+(-y)`
Therefore, `2x-y=14`.
Then we will add `-2x` to both sides.
`2x-y+(-2x)=14+(-2x)`
Then, `(-y)=(-2x)+14`

Divide both sides by `1` to get `y=2x-14`
Now let's zoom in on to `4x+2y=10`.
Since we know `y=2x-14`, that means `4x+2(2x-14)=10`.
We will simplify both sides of the equation. That will get us `8x-28=10`. Then we can add `28` to both sides. `8x-28+28=10+28`.
That would mean `8x=38` and then `x=19/4` or `4.75`.
Since we know `x=19/4` and `y=2x-14`, we can change `y=2x-14` to `y=2(19/4)-14`
And that would mean `y=-9/2` or `-4.5`.
There you go! `x=19/4` or `4.75` and `y=-9/2` or `-4.5`
Hope this helps.