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. In the given figure , ABDC is a rectangle, find the value of x.​

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Linear Equations in Two Variable

Solution of Linear Equations in Two Variables

In the given figure, ABCD i...

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In the given figure, ABCD is a rectangle. Find the values of x and y.

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ANSWER

REF.Image.

In Rectangle ABCD

AB=CD,AD=BC

Given that AB=13,BC=7,AD=3x+y,CD=x+y

Now,

x+y=13 __ (1)

3x+y=7__ (2)

solving (1) & (2)

x+y=13

3x+y=7

________

x−3x=13−7

⟹−2x=6

⟹−x=

2

6

⟹x=−3

Now subtitute x in eq (1)

x+y=13

⟹−3+y=13

⟹y=13+3

⟹y=16