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Dmitrij [34]
2 years ago
7

MODELING REAL LIFE There are a total of 64 students in a filmmaking club and a yearbook club. The filmmaking club has 14 more st

udents than the yearbook club.
a. Write a system of linear equations that represents this situation. Let x represent the number of students in the filmmaking club and y represent the number of students in the yearbook club.

System of equations: x=__



__x + __y = 64
Mathematics
1 answer:
VashaNatasha [74]2 years ago
3 0

Answer:

The system of linear equations is x + y = 64 and x = y + 14.

Given that,

The total number of students is 64 .

Here we assume the x be the number of students in filmmaking club .

And, y be the number of students in yearbook club.

Based on the above information, the calculation is as follows:

x + y = 64

And,

x = y + 14

Therefore,

We can say that

Number of students in yearbook club = 25

And, the number of students in filmmaking club = 39

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4 0
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Please solve these four equations a) x/3=x+4 b) m-3=4/5m-2 c) x/5-4=2-2x/5 d) 1/2+w=8-3w/2
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A)

<span>x3</span>=<span>x+4</span>Step 1: Simplify both sides of the equation.<span><span><span>13</span>x</span>=<span>x+4</span></span>Step 2: Subtract x from both sides.<span><span><span><span>13</span>x</span>−x</span>=<span><span>x+4</span>−x</span></span><span><span><span><span>−2</span>3</span>x</span>=4</span>Step 3: Multiply both sides by 3/(-2).<span><span><span>(<span>3<span>−2</span></span>)</span>*<span>(<span><span><span>−2</span>3</span>x</span>)</span></span>=<span><span>(<span>3<span>−2</span></span>)</span>*<span>(4)</span></span></span><span>x=<span>−6</span></span>Answer:<span>x=<span>−6</span></span>

B)

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C)

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D)
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