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Answer
The two lines
and
intersect at the point
.
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Extra Insights
Did you know that linear equations like
and
can be graphed on a coordinate plane to visualize how they interact? When plotted, the point where these two lines intersect represents the solution to the system of equations. This intersection point reveals the value of
and
that satisfies both equations simultaneously!
If you’re solving for where these two equations equal each other, remember to be careful with your algebra! A common mistake is to overlook signs or to miscalculate coefficients when isolating
. Start by setting them equal to each other:
. Then, simplify step by step, keeping an eye out for those pesky negative signs!