Final answer:
The solution to the system of equations is x = 2 and y = 1.
Step-by-step explanation:
To solve the system of equations -3x+7y=-16 and -9x+5y=16 by elimination, you need to eliminate one variable by multiplying one or both equations by a constant. In this case, multiplying the first equation by 3 and the second equation by -1 will allow you to eliminate the x variable. After eliminating x, you can solve for y and then substitute the value of y back into one of the original equations to find the value of x.
The solution to the system of equations is x = 2 and y = 1.