Final answer:
To solve the given system of equations, use the method of elimination to eliminate one variable. Then, solve for the remaining variable.
Step-by-step explanation:
To solve the given system of equations, we can use the method of elimination. Multiply the first equation by 2 and the second equation by -3 to eliminate the variable 'x'.
3x - 4y = 26 (1)
2x + 8y = -36 (2)
Multiplying equation (1) by 2 and equation (2) by -3:
6x - 8y = 52 (3)
-6x - 24y = 108 (4)
Add equations (3) and (4) to eliminate the variable 'x':
-32y = 160
y = -5
Substitute the value of 'y' into equation (1) to solve for 'x':
3x - 4(-5) = 26
3x + 20 = 26
3x = 6
x = 2
The correct ordered pair is (2, -5).