Solve the system of equations by any method.

5x+9y =16
x+2y =4

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

Therefore, our system now becomes:

Now, we can add these two equations together and solve for y.

Now, we can substitute our value for y into one of the equations and solve for x.

Therefore, our final solution is (-4, 4).

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step-by-step explanation: