Final answer:
To solve the given system of equations, use a graphing device to find the point of intersection, which represents the solution.
Step-by-step explanation:
To solve the given system of equations, we can use a graphing device to plot the equations and find the point of intersection. The point of intersection represents the solution to the system.
First, enter the equations into the graphing device. For the first equation, enter: 0.32x + 0.43y = 0. And for the second equation, enter: 7x - 12y = 341. Then, graph the equations and find the point of intersection.
The solutions to the nearest hundredth are x = 7.41 and y = -4.63.