Question

I need help on this math problem.

Answer 1

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

Answer 2

110 - 4x = x + 10
100 = 5x
x = 20

2x - 20 = 3y - 10
Plug in x
2(20) - 20 = 3y - 10
40 - 20 = 3y - 10
20 = 3y - 10
30 = 3y
y = 10