Answer:
x = 10 and y = 11
Explanation:
2x + 3y = 53 (call this equation '1')
3x - y = 19 (call this '2')
multiply '2' by 3:
9x - 3y = 57 (call this '3')
add '1' and '3':
(2 + 9)x + (3 + -3)y = 53 + 57
11x = 110
x = 10.
now sub that value of x into '1':
2(10) + 3y = 53
20 + 3y = 53
3y = 53 -20
3y = 33
y = 11
no sub both x = 10 and y =11 into '2' to see if everything adds up:
3x - y = 19
3(10) - 11 = 30 - 11 = 19.
so x = 10 and y =11