Solve the system of equations: ) -4x+6y=-58 4x-3y=31

To solve the system of equations, we can use the method of elimination. First, let's multiply the first equation by 3 and the second equation by 6 to make the coefficients of y in both equations equal: Now, we can add the two equations together to eliminate y: Dividing both sides by 12, we get: Now that we have the value of x, we can substitute it back into either of the original equations to solve for y. Let's use the first equation: Simplifying, we get: Adding 4 to both sides, we get: Dividing both sides by 6, we get: Therefore, the solution to the system of equationsx1 y = -9$.