Answer:
x=2/9,y=26/9
Explanation:
This is a simultaneous equation
16x+5y=-2..(1)
4x-y=-2...(2)
From (2) make y the subject of formula
y=4x+2..(3)
Substitute (3) into (1)
16x+5(4x+2)=-2
16x+20x+10=-2
36x-10=-2
Add 10 to both sides
36x=8
Divide both sides by 36
x=8/36
Divide both denominator and numerator by 4
x=2/9
Substitute the value x into (3)
y=4(2/9)+2
y=8/9+2
Let the LCM be 9
y=8+18/9
y=26/9
Therefore x=2/9,y=26/9