Answer:
13) 8
14) 2X or 4W/3 (depending on what the choices are)
Step-by-step 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
