In the parallelogram AXYZ, line segment AT = 4y – 2, line segment TY = 6x -12, line segment TX = 14, line segment ZT = 2x + 12. Find the value of x and y.

A. x = 4, y = 6
B. x = 48, y = 28
C. x = 6, y = 28
D. x = 6, y = 4

Question

In the parallelogram AXYZ, line segment AT = 4y – 2, line segment TY = 6x -12, line segment TX = 14, line segment ZT = 2x + 12. Find the value of x and y.

A.	x = 4, y = 6
	B.	x = 48, y = 28
	C.	x = 6, y = 28
	D.	x = 6, y = 4

anonymous · Answer

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apoorvk · Answer

I guess you posted this same question a few days back, which was comprehensively explained by us.
Still have a doubt?

anonymous · Answer

Yes.

anonymous · Answer

well,AT=TX, you know the value of TX, you can find out y.

anonymous · Answer

How do I do that though? I'm so confused on this whole thing.

anonymous · Answer

similarly ZT=TY , when you will get the value of y , find TY  at first , it is ZT .

anonymous · Answer

ok.TX=AT.   TX=14 , AT=14,... you know AT =4y-2,   so, 4y-2=14 , y=4

anonymous · Answer

So then my answer would be D. x=6, y=4

anonymous · Answer

yes

anonymous · Answer

Thanks so much! :)