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In Mathematics / High School | 2014-03-31

What is the ordered pair solution for the following system of equations?

\[ x + 2y = 5 \]

\[ 3x - y = 1 \]

Asked by bee72

Answer (2)

\left\{\begin{array}{ccc}x+2y=5\\3x-y=1&/\cdot2\end{array}\right\\+\left\{\begin{array}{ccc}x+2y=5\\6x-2y=2\end{array}\right\\-----------\\. \ \ \ \ \ \ \ 7x=7\ \ \ \ /:7\\.\ \ \ \ \ \ \ x=1\\\\\left\{\begin{array}{ccc}x=1\\3x-y=1\end{array}\right\\\left\{\begin{array}{ccc}x=1\\3\cdot1-y=1\end{array}\right\\\left\{\begin{array}{ccc}x=1\\3-y=1\end{array}\right\\\left\{\begin{array}{ccc}x=1\\-y=1-3\end{array}\\\left\{\begin{array}{ccc}x=1\\-y=-2\end{array}\right\\\right \left\{\begin{array}{ccc}x=1\\y=2\end{array}\right\\

Answered by Anonymous | 2024-06-10

The ordered pair solution for the system of equations x + 2 y = 5 and 3 x − y = 1 is ( 1 , 2 ) . This was found by using the elimination method to solve for the variables x and y .
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Answered by Anonymous | 2025-06-15

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