Can someone please help? Much appreciated

Question

Can someone please help? Much appreciated <3

anonymous · Answer

Solve for x and y such that ABCD is a parallelogram.

tkhunny · Answer

Really Big Hint:  Oppostive Angles are Congruent.

anonymous · Answer

So the answer is 3y-20?

tkhunny · Answer

No.  Can you identify Opposite angles?

$4x = 4y + 4$

You show me the other one.

anonymous · Answer

2x + 6 = 3y - 20?

tkhunny · Answer

Perfect.  We have:

$4x = 4y+4$
$2x + 6 = 3y - 20$

Having said that, we can abandon the geometry and work with the algebra problem.

Can you solve this system of equations?

anonymous · Answer

6x + 6 = 7y - 20?

tkhunny · Answer

I'll take that as a "no".  You should have studied several methods to solve such systems.

"Substitution"
"Matrix Inverse"
"Equation Addition"
"Determinants"

Maybe you haven't heard of all of those.  Any sound familiar?

anonymous · Answer

no haha

tkhunny · Answer

Well, that's bad, but you did seem to want to add he two equations, so let's figure out how to get that method to do somehting for us.

First, rearrange to a consistent form.  I'll do the first one.

4x=4y+4 can be written as $4x - 4y = 4$

You write the other one in a consistent format.  x first, then y then = soem constant.