Question #b2f17

1 Answer
Sep 13, 2017

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.