SOLUTION:
First we will find ( x ) so that we can then find ( y ).
To find x -
Opposite sides of a paralellogram are congruent ( equivalent to each other ).
( x + 10 ) and ( 110 - 4x ) are opposite sides.
Therefore:
x + 10 = 110 - 4x
x + 4x = 110 - 10
5x = 100
x = 100 / 5
x = 20
To find y -
From this, we will substitute the value of ( x ) from above into our equation for ( y ).
Opposite sides of a paralellogram are congruent ( equivalent to each other ).
( 2x - 20 ) and ( 3y - 10 ) are opposite sides.
Therefore:
2x - 20 = 3y - 10
3y - 10 = 2x - 20
3y - 10 = 2 ( 20 ) - 20
3y = 40 - 20 + 10
3y = 30
y = 30 / 3
y = 10
FINAL ANSWER:
Therefore, the answer is:
y = 10
Hope this helps! :)
Have a lovely day! <3
