What is the (x)-coordinate of the intersection of (3x+y=10) and (2x-y=5) on the graph?

Correct answer: (3)

The direct answer is C: the x-coordinate is 3. Add the equations: (3x+y)+(2x−y)=10+5. The y terms cancel, giving 5x=15. Dividing by 5 gives x=3. The corresponding y can be found as 1, so the intersection is (3,1), but only x is requested. Option A, 1, is the y-coordinate, not the x-coordinate. Option B, 2, does not satisfy the combined equation 5x=15. Option C is correct because x=3. Option D, 5, is the coefficient produced before division, not the solution. In a graph, the intersection satisfies both equations, so algebraically solving the pair gives its coordinates. Memory cue: when adding, opposite y terms cancel; then solve for the requested coordinate.