Question

Sat math. Only one question. I am not sure of the answer

Answer 1

13) 8

14) 2X or 4W/3 (depending on what the choices are)

Explanation:

So I'm using the box given:

If then

W X W+Z=X+Y and 2W=3X

Y Z

13)

3 X 3+7=X+Y and 2*3=3*X

Y 7

To get W,X,Y, and Z I compared it to the first lay out and then replace the other W's,X's,Y's, and Z's.

So we have 3+7=X+Y which means 10=X+Y.

We also have 2*3=3*X which means 2=X (I divided both sides by 3).

If X=2 then 10=X+Y gives us 10=2+Y.

10=2+Y can be solved by subtracting 2 on both sides:

8=Y

Y=8

14)

W X W+W=X+Y and 2W=3X

Y W

So W+W=X+Y means 2W=X+Y

We are also given 2W=3X which means by substitution into the first equation we get 3X=X+Y.

3X=X+Y can be solved by subtracting X on both sides:

2X=Y

We can also write Y in terms of W.

We have 2W=3X so that means X=2W/3 (I divided both sides by 3)

Now I'm going to replace X in 2X=Y with (2W/3) giving me:

2(2W/3)=Y

4W/3=Y

Answer 2

8

Explanation:

To find Y, find X first. Multiply 2 by W (3) which is 6, and divide by 3, which gives us X=2. The inequality W+Z=X+Y substituted is 10=2+Y. Subtract 2 from 10 and you get Y=8