Final answer:
To find the solution of the system of equations, we can use the method of substitution or elimination to solve for x and y. The correct solution is (-1, 6).
Step-by-step explanation:
To find the solution of the system of equations -x + 4y = 25 and -2x - 2y = -10, we can use the method of substitution or elimination. Let's use the method of substitution:
We solve one equation for one variable and substitute it into the other equation:
-x = 25 - 4y → x = -25 + 4y
Substituting this value of x into the second equation:
-2(-25 + 4y) - 2y = -10 → 50 - 8y - 2y = -10 → 50 - 10y = -10 → -10y = -60 → y = 6
Substituting the value of y into x = -25 + 4y:
x = -25 + 4(6) → x = -25 + 24 → x = -1
Therefore, the solution of the system of equations is (-1, 6). So, the correct answer is option B. (6, 2).