x=4. y=-3
Explanation:
from equation 2
5x+3y=11..,.........2
3y=11-5x
y=11-5x/3............3
subtitute the value of y into equation 1
6x-y=27
6x-(11-5x)/3=27
6x-11+5x/3=27
lcm =3
multiplying through by 3
3(6x)-11+5x=3(27)
18x-11+5x=81
18x+5x=81+11
23x=92
x=4
when x= 4
subtitute x into equation 3
y=11-5(4)/3
y=11-20/3
y=-9/3
y=-3
x,y= 4&-3