The given equations are:
5x + y = -17
3y = 4x + 6
Let's solve both the equations:
5x + y = -17
(multiply both sides by 3)
15x + 3y = -51 (1)
3y = 4x + 6
-6 = 4x - 3y
or
4x - 3y = -6 (2)
Now, add both the equations (1) and (2)
(15x + 3y) + (4x - 3y) = -51 -6
15x + 4x + 3y - 3y = -57
19x = -56
x = -57/19
x = -3
Now, put the value of x in eq (2).
4(-3) - 3y = -6
-12 -3y = -6
-3y = -6 + 12
-3y = 6
-y = 6/3
-y = 2
y = -2
Hence, the pair should be (-3, -2).
