Answer
$x = 2$
$y = 1$
Work Step by Step
Opposite sides of a parallelogram are congruent; therefore, we can set one pair of opposite sides equal to one another:
$7x - 2 = 5x + 2$
Subtract $5x$ from each side of the equation to move variables to the left side of the equation:
$2x - 2 = 2$
Add $2$ to both sides of the equation to move constants to the right of the equation:
$2x = 4$
Divide both sides by $2$ to solve for $x$:
$x = 2$
Now, we can set the other two opposite sides equal to one another:
$7x - 1 = 6x + y$
Substitute $2$ for $x$:
$7(2) - 1 = 6(2) + y$
Multiply first, according to order of operations:
$14 - 1 = 12 + y$
Subtract to simplify:
$13 = 12 + y$
Subtract $12$ from each side of the equation to solve for $y$:
$y = 1$
