For real numbers $t,$ the point of intersection of the lines $x + 2y = 7t + 3$ and $x - y = 2t - 2$ is plotted.  All the plotted points lie on a line.  Find the slope of this line.
Question:
For real numbers $t,$ the point of intersection of the lines $x + 2y = 7t + 3$ and $x - y = 2t - 2$ is plotted.  All the plotted points lie on a line.  Find the slope of this line.
Answer:
Let's think step by step.

user
\frac{5}{11}
For real numbers $t,$ the point of intersection of the lines $x + 2y = 7t + 3$ and $x - y = 2t - 2$ is plotted.  All the plotted points lie on a line.  Find the slope of this line.
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