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