Final answer:
By rewriting the system of equations in slope-intercept form and graphing them, the point of intersection can be estimated. The provided coordinate pairs are then compared to the intersection to determine the best fit as a solution.
Step-by-step explanation:
To estimate the solution to the system of equations by graphing, we first rewrite them in slope-intercept form (y = mx + b). The first equation, 3r + 5y = 14, can be rearranged to y = -3/5r + 14/5. The second equation, 6r - 4y = 9, becomes y = 3/2r - 9/4 after rearrangement.
We can then graph these two equations on a coordinate plane. Where they intersect represents the solution to the system of equations. By estimating the point of intersection and comparing it to the given options, we select the one that is closest to this intersection.
When graphing this on paper or with a graphing tool, you will be able to see which of the given coordinate pairs best represents the point of intersection. Remember, for estimation, the graph does not need to be perfect, but the intersection point should provide a reasonable approximation of the solution.