( 7, 10.5 )
<em>Solution:
</em><em />
y = 2x - 3.5
x - 2 y = -14
Plug the first equation into the second equation like so;
x - 2 ( 2x - 3.5 ) = -14
Distribute -2 to 2x and -3.5
Your equation should now look like this:
x - 4x + 7 = -14
You want common numbers to be in the same side so you subtract 7 from both sides
x - 4x + 7 - 7 = -7 - 14
Now simplify both sides
x - 4x = -3x
- 7 - 14 = -21
In order to solve for x you need to get x by itself, so you divide both sides by -3
-3x / -3 = x
-21 / -3 = 7
x = 7
In order to solve for y you need to plug x in
(You can plug it into either equation, but I'm plugging it into the first one)
y = 2 (7) - 3.5
y = 14 - 3.5
y = 10.5
