<p-3x+6y=-3 and -6x+4y = -10

Question

solve using elimination method show your work. If system has no solution or an infinite number of solutions state this

Answer 1

We don't know what p represents, or it's a typo. Let's see what x and y are in terms of p:

-3x+6y=-3-p (1)

-6x+4y=-10⇒3x-2y=5 (2)

Add (1) and (2):

4y=2-p, y=¼(2-p),

Since 3x=5+2y=5+½(2-p)=5+1-p/2=6-p/2, x=2-p/6.

So if p=6, then x=2-6/6=2-1=1 and y=¼(2-6)=¼(-4)=-1.

This is the most likely answer (x=1, y=-1) so the question should have been written:

6-3x+6y=-3, -6x+4y=-10.