Question

Help pls! (it's a pic)

Answer 1

Answer: Choice C

x+y = 28

3x+4y = 100

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Step-by-step explanation:

x and y are placeholders for nonnegative whole numbers.

Specifically,

x = number of three point questions

y = number of four point questions

Since we have 28 questions total, this must mean x+y = 28. That forms the first equation in our system of equations.

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Now let's form the second equation:

x = number of three point questions

3x = points we get from all the three point questions

y = number of four point questions

4y = points we get from all the four point questions

3x+4y = all points possible

3x+4y = 100 is the second equation

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So we have this system

`\begin{cases}x+y = 28\\3x+4y = 100\end{cases}`

which fits the conditions in the instructions.