Answer
$x = 1$
$y = 2$
Work Step by Step
The diagonals of a parallelogram bisect one another; therefore, we can set the two bisected segments of each diagonal equal to one another. Let's start with the diagonal in which the segments have the same variable:
$2x = 4x - 2$
Subtract $4x$ from each side of the equation to move variables to the left side of the equation:
$-2x = -2$
Divide both sides by $-2$ to solve for $x$:
$x = 1$
Now, we can set the other two segments on the other diagonal equal to one another:
$5x - 1 = 2y$
Substitute $1$ for $x$:
$5(1) - 1 = 2y$
Multiply first, according to order of operations:
$5 - 1 = 2y$
Subtract to simplify:
$2y = 4$
Divide both sides of the equation by $2$ to solve for $y$:
$y = 2$
