Answer:
The solution to the system of equations is (x, y) = (5, 6).
Explanation:
To find the solution to the system of equations:
-x + y = 1
-2x + y = -4
You can solve this system using the method of substitution or elimination. I'll use the elimination method:
Multiply equation (1) by 2 so that the coefficients of y in both equations become the same:
-2x + 2y = 2
Now, subtract equation (2) from equation (1) to eliminate y:
(-2x + 2y) - (-2x + y) = 2 - (-4)
Simplify:
2y - y = 6
y = 6
Now that we have found the value of y, substitute it back into equation (1) to find x:
-x + 6 = 1
Add x to both sides:
6 = x + 1
Subtract 1 from both sides:
5 = x
So, the solution to the system of equations is (x, y) = (5, 6).
Therefore, the correct solution is (5, 6)