For what values of x and y must the figure have in order to be a parallelogram

Given:

Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.

We need to determine the values of x and y.

Values of x and y:

We know the property that the opposite sides of a parallelogram are congruent.

Thus, we have;

------- (1)

 ------- (2)

The value of x and y can be determined using the substitution method.

Substituting equation (2) in equation (1), we have;

Thus, the value of x is 3.

Substituting x = 3 in equation (2), we have;

Thus, the value of y is 10.