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skelet666 [1.2K]
3 years ago
14

Evaluate (3x-y)/(3(x-y)) if x = 5 and y = 3. *

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

2

Step-by-step explanation:

Write the equation

\frac{3x-y}{3(x-y)}

Add the variables

\frac{3(5)-3}{3(5-3)}

Multiply 3 x 5

\frac{15-3}{3(5-3)}

Subtract the parentheses

\frac{15-3}{3(2)}

Subtract the numerator

\frac{12}{3(2)}

Reduce the fraction with 3

\frac{12}{3(2)} = \frac{4}{2}

Reduce the fraction again with 2

\frac{4}{2} = 2

And there's your answer of 2!

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Three times as many children as adults attended a concert on Saturday. An adult ticket cost $7 and a child’s ticket cost $3. The
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For this case we propose a system of equations:

x: Let the variable representing the number of children in the concert

y: Let the variable representing the number of adults at the concert

According to the assistance we have:

x = 3y

According to the cost we have:

3x + 7y = 6000

Substituting the first in the second equation we have:

3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375

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