2 years ago

54 as a product of primes

Mathematics

1 answer:

kvasek [131]2 years ago

6 0

54 can be factored as follows:

54

2*27

2*3*9

2*3^2*3

2*3^3

Therefore, 54 is equal to 2*3^3, or 2*3*3*3.

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Step-by-step explanation:

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Arturiano [62]

$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
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\boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\
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If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
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The answer is C.

Here's the correct solution:
$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
5x=10+10 \\
5x=20 \\
x=\frac{20}{5} \\
x=4 \\ \\
y=5-2x \\
y=5 - 2 \times 4 \\
y=5-8 \\
y=-3 \\ \\
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