5x + 3y = 19 --- (1)
x - 6y = 11 --- (2)
From (2), we have:
x = 6y + 11 --- (3)
Substituting (3) into (1), we will get:
5(6y + 11) + 3y = 19
30y + 55 + 3y = 19
30y + 3y = 19 - 55
33y = -36
y = -36 / 33
y = -12 / 11
Substituting y = -12 / 11 into (3), we will get:
x = 6(-12 / 11) + 11
x = -72 / 11 + 11
x = 49 / 11
Hence, x = 49/11 and y = -12/11