We want to find the values of x and y for which ABCD is a parallelogram, using the given algebraic expressions for the segment lengths.
Recall the theorem that tells us that if a quadrilateral is a parallelogram then its opposite sides are congruent. Therefore, the following segments are congruent.
AB ≅ CD and BC ≅ DA
By the definition of congruent segments, we can conclude that their lengths are equal.
AB = CD and BC = DA
Let's create a system of equations by substituting the lengths of the segments into these equations.
2y+1=7x-3 y+1=3x
To solve it we will use the Substitution Method.
