Question

3x - 7
5y
2y + 18
2x + 9
x=
y=

Explanation:

Step1: Solve for \(x\)

In a parallelogram, opposite sides are equal. So, \(2x + 9=3x - 7\).
Subtract \(2x\) from both sides: \(2x+9 - 2x=3x - 7-2x\), which gives \(9=x - 7\).
Add \(7\) to both sides: \(9 + 7=x-7 + 7\), so \(x = 16\).

Step2: Solve for \(y\)

Also, \(5y=2y + 18\).
Subtract \(2y\) from both sides: \(5y-2y=2y + 18-2y\), which gives \(3y=18\).
Divide both sides by \(3\): \(y=\frac{18}{3}=6\).

Answer:

\(x = 16\), \(y = 6\)