Did you know that the system of equations you’ve given can reveal insights about lines on a graph? The first equation, , is a linear equation and can be rewritten to show a line with a slope of 1. It’s essentially a straight path where for every step you take right, you step up one unit. Now, the second equation simplifies to the same line because it’s just a multiple of the first, meaning they overlap perfectly!

When solving such systems, a common mistake is overlooking the fact that two equations represent the same line, which would yield infinitely many solutions—not just a single point! This means any point on the line defined by is indeed a solution to the system. Double-check your equations to ensure you aren’t missing any hidden gems of overlap!