Solve the following system of equations by substitution and select the correct answer below: 6x − 4y = 36 2x − 8y = 32 a. x=4, y=3 b. x=4, y=-3 c. x=-4, y=3 d. x=-4, y=-3

Via subsitution we want to isolate x for 6x - 4y = 36
Start by adding 4y to both sides.

Now divide both sides by 6
.
Now simplify further.

Apply the rule of  to 
When applied >  > Now factor 36 + 4y > Rewrite it as....
> Factor out the common term of 4 > 
This gives us 
From there we want to cancel the common factor of 2 which gives us...

Now you want to 

 
This gives us 
So now we have 
We want to multiply both sides by 3.

Refine it.

Expand 

Where 

So now we have 
Group the like terms.



Now we want to 

Therefore our final solutions are, y = -3, x =4.
Hope this helps!

The answer would be (c)