Final answer:
To solve the given system of equations by graphing, we graph both equations on the same coordinate plane and find the point of intersection. The solution is in the first quadrant.
Step-by-step explanation:
To solve the system of equations 3x + 2y = 4 and 2x + 3y = 7 by graphing, we need to graph both equations on the same coordinate plane and find the point of intersection. The solution to the system will be the coordinates of the point of intersection. To determine which quadrant the solution is in, we need to analyze the signs of the x-coordinate and y-coordinate of the point of intersection.
By graphing the two equations, we find that the point of intersection is (2, 1). Since both the x-coordinate and y-coordinate are positive, the solution is in the first quadrant.