Answer: (-3, -1)
Explanation:
First, we can use the first equation to solve for one variable in terms of the other.
y = -2x - 7
Next, we can substitute this expression for y into the second equation:
2y - x = 1
2(-2x - 7) - x = 1
Simplifying:
-4x - 14 - x = 1
-5x - 14 = 1
-5x = 15
x = -3
Now that we have the value of x, we can substitute it back into either of the original equations to find y. Using the first equation:
y = -2(-3) - 7
y = 6 - 7
y = -1
Therefore, the ordered pair that satisfies both equations is (-3, -1).