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If 3x + 6y = 69 and 2x – y = 11, what is the value of y?
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Carcass
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Joined: 18 Apr 2015
Posts: 19489
GRE 1: Q160 V160
If 3x + 6y = 69 and 2x – y = 11, what is the value of y? [#permalink] New post  18 Jul 2018, 16:53
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Re: If 3x + 6y = 69 and 2x – y = 11, what is the value of y? [#permalink] New post  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 \(y = 7\)
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