A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Step-by-step explanation:

If you want to use substitution you need to convert the first equation to y=

so you can subtract  x from both sides to isolate y

so now you have y=24-x

now we plug that in

to get 3x+5(24-x) =100

now we have a one variable equation

then distribute

to get 3x+120-5x=100

then combine like terms

to get 120-2x=100

then isolate the x, but we don't want to have a negative x so we add x to both sides

to get 120=100+x

then we isolate x by subtracting 100 from both sides

to get 20=x

so there are 20 3-point questions

now you can plug that in to the first equation to get y

x+y=24

(20)+y=24

subtract y from both sides to get

y=4

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: