What is the solution to the system of equations? y=2x-3.5 x-2y=-14

( 7, 10.5 )

Solution:

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

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