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# If 3x + 6y = 69 and 2x – y = 11, what is the value of y?

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If 3x + 6y = 69 and 2x – y = 11, what is the value of y? [#permalink]  18 Jul 2018, 16:53
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94% (01:19) correct 5% (01:41) wrong based on 34 sessions
If 3x + 6y = 69 and 2x – y = 11, what is the value of y?

[Reveal] Spoiler: OA
7

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Re: If 3x + 6y = 69 and 2x – y = 11, what is the value of y? [#permalink]  18 Jul 2018, 17:37
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This one is fairly simple algebra. Lets simplify and isolate for x in the first equation:
$$3x + 6y = 69$$
$$x + 2y = 23$$
$$x = 23 - 2y$$

Plug x into the second equation:
$$2x – y = 11$$
$$2(23 - 2y) – y = 11$$
$$46 - 4y - y = 11$$
$$46 - 5y = 11$$
$$46 - 11 = 5y$$
$$35 = 5y$$
$$7 = y$$

The answer is $$y = 7$$
Re: If 3x + 6y = 69 and 2x – y = 11, what is the value of y?   [#permalink] 18 Jul 2018, 17:37
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