How do you solve the following system?: 4x-y=-1 , 6x - 4y = 3

1 Answer
May 25, 2018

Use the elimination method.

Your answer is:
x = -7/10
y = 9/5

Explanation:

I'd say for this one, I would use the elimination method. I'm not too good at formatting, but I'll give this my best shot.
Set it up like this:
4x - y = -1
6x - 4y= 3
Now, you want to get rid of one of the variables. Multiply (4x-y=-1) by -4. Now you have:
-16x + 4y = 4
6x - 4y = 3
Cancel out the 4y and -4y and add the rest of the similar terms. You're left with
-10x = 7
Divide both sides by -10 so you have just x.
x = -7/10

Now, plug x back into one of the equations. You can do either, but for this one I'll do the first one.
4( -7/10) - y = -1
4(-7/10)= -28/10=-14/5
So...
-14/5 - y = -1
Move the 14/5 to the other side in order to isolate the y, by adding it.
-y = -9/5
Divide both sides by -1.
y = 9/5

Your answer is:
x = -7/10
y = 9/5