Answer:
[tex]x = 5[/tex]
[tex]y = 16[/tex]
Step-by-step explanation:
Given
See attachment for parallelogram
Required
Find variables x and y
Solving for x, we have:
[tex]5x = 25[/tex] ---- Opposite sides of a parallelogram
[tex]\frac{5x}{5} = \frac{25}{5}[/tex] ------ Divide both sides by 5
[tex]x = 5[/tex]
Solving for y, we have:
[tex]3y - 1 = 47[/tex] ---- Opposite sides of a parallelogram
[tex]3y = 1 + 47[/tex] ------ Collect like terms
[tex]3y = 48[/tex]
[tex]\frac{3y}{3} = \frac{48}{3}[/tex] ---- Divide both sides by 3
[tex]y = 16[/tex]
