Answer:
To find the solution to the given system of equations, we can use the method of substitution or elimination. Let's solve it using the substitution method:
1. Start with the first equation: y + 2 = 3x - 3.
2. Solve this equation for y by subtracting 2 from both sides: y = 3x - 5.
3. Substitute the value of y in the second equation with 3x - 5: 3x - 5 = -2x + 10.
4. Simplify the equation by adding 2x to both sides: 5x - 5 = 10.
5. Add 5 to both sides to isolate the variable: 5x = 15.
6. Divide both sides by 5 to solve for x: x = 3.
7. Now, substitute the value of x into the first equation: y = 3(3) - 5.
8. Simplify the equation: y = 4.
Therefore, the solution to the system of equations is (x, y) = (3, 4).
So, the correct answer is C. (3, 4).
Explanation: