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3 years ago

Solve for a. 5a - 2 = 23

Mathematics

2 answers:

Tatiana [17]3 years ago

6 0

Answer:

5a - 2 = 23

<h3>Add 2 to both sides</h3>

5a -2 + 2 = 23 + 2

5a = 25

<h3>Divide both sides by 5</h3>

5a/5 = 25/5

<u>a</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u> </u> as the answer

Step-by-step explanation:

I hope it helps ❤

Sphinxa [80]3 years ago

5 0

The answer to the question is 5

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Step-by-step explanation:

Let the price of the student ticket be $x and the price of a child ticket be $y. An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).

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Now, solve the system of two equations:

$\left\{\begin{array}{l}2(x+y)+x+y=15\\ \\(x+y)+4x+2y=23\end{array}\right.\Rightarrow \left\{\begin{array}{l}3(x+y)=15\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}x+y=5\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}y=5-x\\ \\5x+3(5-x)=23\end{array}\right.$

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