**Mathematics Problem: Parallelogram Properties**Given the equations:\[ ON = 7x - 5 \]\[ LM = 6x + 3 \]\[ NM = x - 4 \]\[ OL = 2y + 5 \]**Problem:**Find the values of \( x \) and \( y \) given that LMNO is a parallelogram.**Solution:**To find the values of \( x \) and \( y \), we use the property that in a parallelogram, opposite sides are equal in length.Therefore, we have:1. \( ON = LM \)2. \( NM = OL \)From the first pair of equations:\[ 7x - 5 = 6x + 3 \]Solving for \( x \):\[ 7x - 6x = 3 + 5 \]\[ x = 8 \]From the second pair of equations:\[ x - 4 = 2y + 5 \]Substitute \( x = 8 \):\[ 8 - 4 = 2y + 5 \]\[ 4 = 2y + 5 \]Solving for \( y \):\[ 4 - 5 = 2y \]\[ -1 = 2y \]\[ y = -\frac{1}{2} \] Thus, the values are \( x = 8 \) and \( y = -\frac{1}{2} \).

Name: **Mathematics Problem: Parallelogram Properties**Given the equations:
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: **Mathematics Problem: Parallelogram Properties**Given the equations:\[ ON = 7x - 5 \]\[ LM = 6x + 3 \]\[ NM = x - 4 \]\[ OL = 2y + 5 \]**Problem:**Find the values of \( x \) and \( y \) given that LMNO is a parallelogram.**Solution:**To find the va