Answer:
Explanation:
To solve the system of equations using the elimination method, we need to eliminate one of the variables by adding or subtracting the equations. Given the equation 9x - 5y = -16, we need another equation that involves the same variables, x and y. Let's say we have the second equation as 3x + 2y = 4. To eliminate one of the variables, we can multiply both sides of the second equation by a suitable number so that the coefficients of y in both equations will be the same or opposite. In this case, let's multiply the second equation by 5, which gives us 15x + 10y = 20. Now, we can add the two equations together to eliminate y. (9x - 5y) + (15x + 10y) = -16 + 20 Combining like terms, we get: 24x + 5y = 4 Since we eliminated y, we are left with a new equation involving only x. Now, we can solve this equation for x by isolating x: 24x = 4 - 5y Dividing both sides of the equation by 24: x = (4 - 5y) / 24 Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation: 9x - 5y = -16 Substituting the value of x, we get: 9((4 - 5y) / 24) - 5y = -16 Simplifying this equation will give us the value of y.