Given that the system of equations $2x + y = 5$ and $3x - 2y = 7$ has a solution, find the equation of the line parallel to the line whose equation is formed by eliminating $y$ from these two equations.
Answer
Step 3: Therefore, the equation of the line parallel to the line whose equation is formed by eliminating $y$ from the given system of equations is $x = k$, where $k$ is a real number.
Step 1 ：Step 1: Eliminate $y$ from the given system of equations. Multiply the first equation by $2$ and the second equation by $1$, then subtract the second equation from the first. This gives $4x + 2y - (3x - 2y) = 10 - 7$, or $x = 3$.
Step 2 ：Step 2: The equation of the line formed by eliminating $y$ is $x = 3$. This is a vertical line, so any line parallel to it will also be a vertical line and have the same form, $x = k$, where $k$ is a real number.
Step 3 ：Step 3: Therefore, the equation of the line parallel to the line whose equation is formed by eliminating $y$ from the given system of equations is $x = k$, where $k$ is a real number.
