Question

Answer to the question

Answer 1

Answer:

Value of x = -1 and y = -4

Step-by-step explanation:

BC = 3 (given)

BC = AD ( opposite sides of a parallelogram are equal)

∴ AD = 3

AD = x - y (given)

∴ 3 = x - y

3 + y = x -------- (1)

CD = 2 (given)

CD = AB (opposite sides of a parallelogram are equal)

∴ AB = 2

AB = 2x - y (given)

∴ 2 = 2x - y ----------- (2)

Putting the value of x in (1) To (2)

2 = 2(3+y) - y

2 = 6 + 2y - y

2 = 6 + y

2 - 6 = y

-4 = y

Now, substitute the value of y in (1)

x = 3 + y

x = 3 + (-4)

x = 3 - 4

x = -1

Therefore, the value of x = -1 and y = -4.

Cross-checking

2x - y = 2

2*-1 - (-4) = 2

-2 -(-4) = 2

-2 + 4 = 2

2 = 2

LHS = RHS

x - y = 3

-1 -(-4) = 3

-1+4 = 3

3 = 3

LHS = RHS

Thus verified

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