Answer:
To solve the system of equations:
x + y = 8
2x^2 - y = -5
We can use the method of substitution or elimination. Let's use the elimination method to solve this system.
First, let's multiply the first equation by 2 to match the coefficients of x^2:
2(x + y) = 2(8)
2x + 2y = 16
Now, we can subtract the second equation from this new equation:
2x + 2y - (2x^2 - y) = 16 - (-5)
2x + 2y - 2x^2 + y = 16 + 5
2y + y - 2x^2 + 2x = 21
Simplifying the equation:
3y - 2x^2 + 2x = 21
Now, let's rearrange this equation:
2x^2 - 2x - 3y = -21
This is a quadratic equation in terms of x. To further solve for x or y, we need another equation or more information.
If you have any additional equations or information related to the system, please provide them, and I will be happy to assist you further.
Explanation: