Practice Questions

Question 9 « Prev Next »

Given the system of equations below, \[x=?\]

\[y+3x=9\]

\[2x−\frac{1}{3}y=6\]

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Answer: 3

Explanation

The first step in answering this question is to rearrange one of the given equations so that it is expressed in terms of y:

\[y+3x=9\]

\[y=−3x+9\]

To solve for x, the next step is to plug \[−3x+9\] in for y in the second equation:

\[2x-\frac{1}{3}(9-3x)=9\]

\[2x−3+x=6\]

\[3x=6+3\]

\[x=3 \]

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