Final Answer:
A. (1, 1)
The solution to the system {5x+4y=12, 3x+5y=4} is (1, 1), as this point satisfies both equations.
Step-by-step explanation:
To find the solution to the system of equations {5x+4y=12, 3x+5y=4}, one can use various methods, such as substitution or elimination. However, if graphed, the point of intersection represents the solution. By analyzing the graph, it can be observed that the point of intersection is (1, 1).
The solution (1, 1) satisfies both equations simultaneously. Substituting x=1 and y=1 into the system:
1. For the first equation: 5(1) + 4(1) = 5 + 4 = 9
2. For the second equation: 3(1) + 5(1) = 3 + 5 = 8
Both equations are satisfied, confirming that (1, 1) is indeed the solution to the system.