Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated

Question

2 years ago

15

.

1 answer:

arsen [322] · Answer 1 · 2022-05-12T18:00:16+03:00

Answer:

x = 6 y = -9 (I took a complicated route so if my explanation doesn't make sense It's fine)

Step-by-step explanation:

DAY = FUN

F = (7x+2y) = 24

If DAY = FUN then D = F making (7x + 2y) = 24

This means A = U so you have to find U with 24+126=150

A triangle is 180 degrees so you would do 180-150=30

U = 30

This also makes (8x+2y) = 30

8x + 2y = 30

-8x -8x

2y = 30 - 8x

Divide everything by 2

y = 15 - 4x

Doing this you can take 7x + 2y = 24 and plug in 7x + 2(15 - 4x) = 24

Multiply it 7x + 30 - 8x = 24

Add like terms -x + 30 = 24

Subtract 30 -x = -6

Divide by -1 x = 6

Now take one of the equations and plug it in 7(6) + 2y = 24

Multiply 42 + 2y = 24

Subtract 2y = -18

Divide by 2 y = -9