25. Determine the number of solutions based on the graph for the following system of equations.
    
    
    A. Exactly one solution
    B. No solutions
    C. Infinitely many solutions
    . Exactly two solutions

To analyze the system of equations given by and , let’s first put them in slope-intercept form. The first equation rearranges to with a slope of . The second equation simplifies to as well, which shows that both equations represent the same line.

Since these lines overlap perfectly, there are infinitely many solutions where any point on the line satisfies both equations. Hence, the answer is C: Infinitely many solutions.

For an engaging twist, you could think of it this way: it’s like having two best friends who always agree—wherever one goes, the other is right there with them, and thus, the solution space is boundless! Now, if only solving your daily dilemmas were as easy as having two equations that perfectly match!