Answer:
(2, -6)
Explanation:
To solve this system of equations:
2x + 7y = -38
-5x - 8y = 38
We can use the method of elimination to eliminate one of the variables. We can do this by multiplying the first equation by 8 and the second equation by 7, which will give us:
16x + 56y = -304
-35x - 56y = 266
Adding these equations will eliminate the y variable and give us:
-19x = -38
Dividing both sides by -19 gives us:
x = 2
Now that we have the value of x, we can substitute it into either of the original equations to solve for y. Let's use the first equation:
2x + 7y = -38
2(2) + 7y = -38
4 + 7y = -38
Subtracting 4 from both sides gives us:
7y = -42
Dividing both sides by 7 gives us:
y = -6
Therefore, the solution to the system of equations is x = 2 and y = -6, or (2, -6) in coordinate form.