Final answer:
The given expressions are evaluated for x = -2 and y = 3, resulting in solutions 11, -14, -7, 38, 8, -21, 33, and 7 respectively.
Step-by-step explanation:
To evaluate the given expressions for x = -2 and y = 3, we substitute the values of x and y into each expression and simplify:
- 3y - x: 3(3) - (-2) = 9 + 2 = 11.
- x + 2xy: -2 + 2(-2)(3) = -2 - 12 = -14.
- 2x - y: 2(-2) - 3 = -4 - 3 = -7.
- 3x^2y - x: 3(-2)^2(3) - (-2) = 3(4)(3) + 2 = 36 + 2 = 38.
- 6 - x: 6 - (-2) = 6 + 2 = 8.
- 3x - y^2 + xy: 3(-2) - 3^2 + (-2)(3) = -6 - 9 - 6 = -21.
- 4y - 2xy + 3y: 4(3) - 2(-2)(3) + 3(3) = 12 + 12 + 9 = 33.
- x^2 + y: (-2)^2 + 3 = 4 + 3 = 7.