What is the value of the Y coordinate of the solution to the system of equations x-2y=1 and x+4y=7?

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06-05-2014
Mathematics

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What is the value of the Y coordinate of the solution to the system of equations x-2y=1 and x+4y=7?

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Анонимidn Анонимidn · Answer 1 · 2014-05-06T13:06:22-04:00

Анонимidn Анонимidn

06-05-2014

[tex]\left\{\begin{array}{ccc}x-2y=1\\x+4y=7&/\cdot(-1)\end{array}\right\\\\+\left\{\begin{array}{ccc}x-2y=1\\-x-4y=-7\end{array}\right\\-----------\\.\ \ \ \ \ \ \ \ \ -6y=-6\ \ \ \ \ /:(-6)\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ y=1\\\\x-2\cdot1=1\\x-2=1\\x=1+2\\x=3\\\\Answer:\\\left\{\begin{array}{ccc}x=3\\y=1\end{array}\right[/tex]

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