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

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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 15667

GRE 1: Q160 V160

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

18 Jul 2018, 16:53

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bloodstorm917

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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

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 $y = 7$