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beks73 [17]
3 years ago
15

There are a total of 21 students in the choir and the drama club. There are 7 more students in the choir than the drama club. Wr

ite and solve a system of equations to represent this solution. Let x represent the number of students in the choir, and let y represent the number of students in the drama club. Interpret the solution.
Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

Answer:

<em>The number of students in the drama club is 7 and the number in the choir is 14</em>

Step-by-step explanation:

X = Number of students in choir club

Y =  Number of students in drama club

<u>First equation:</u>

x + y = 21

<u></u>

<u>Since we know that there are 7 more students in the choir club than the drama club, that means:</u>

x + 7 = y

<u>A little trick that you can do to find y is this:</u>

21 students in the choir and drama club - 7

=> 14

Meaning that y is 14

<u>So lets go back into our second equation:</u>

x + 7 = 14

7 + 7 =14

x=7

<u>Plug both variables in:</u>

7 + 14 = 21

So that means that there are 7 students in the drama club and 14 students in the choir club.

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A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5
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If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

\begin{aligned} \rm  y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x-  5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end

Then the rate of change of the function expressed as a unit rate will be

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More about the linear system link is given below.

brainly.com/question/20379472

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Consider right triangle PTS. The area of this triangle is

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