5. If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?
A. 2(x - 8) = 3(x + 11)
B. 2(x + 8) = 3(x - 11)
C. 2x-8 = 3x + 11
D. 2x+8 = 3x - 11​

Respuesta :

The linear equation could be used to find how many students are in the class is  2x-8 = 3x - 11. Thus option D is a correct.

According to the statement

we have to find out that the correct equation for the given statement.

So, For this purpose, we know that the

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

According to the information:

If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short.

After analysis of the statement the equation become 2x-8 = 3x - 11

The option D is correct.

So, The linear equation could be used to find how many students are in the class is  2x-8 = 3x - 11. Thus option D is a correct.

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