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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: 21055

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

18 Jul 2018, 16:53

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

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bloodstorm917

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Joined: 09 Jul 2018

Posts: 10

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 \(y = 7\)