Question

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

Answer 1

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`