Question

What are the values of x and y for which quadrilateral is ABCD is a parallelogram? Explain.

Answer 1

The value of x = 2.

The value of y = 1.

Explanation:

The length of opposite sides of a parallelogram are equal.

Hence, the length of 4x - 3 and x + 3 are equal.

Similarly, the lengths of 3y and 5y - 2 are equal.

`$ \therefore 4x - 3 = x + 3 $`

`$ \implies 3x = 6 $`

`$ \implies \textbf{x = 2} $`

And
`$ 3y = 5y - 2 $`

`$ 2y = 2 $`

`$ \implies \textbf{y = 1} $`

Therefore, the values of x and y are: 2; 1 respectively.