2x + 3y = 53

3x - y = 19

x = 10

y = 11

Step-by-step explanation:

Solve for x:

2x + 3y = 53

3x (3) - y (3) = 19 (3)

2x + 3y = 53

9x - 3y = 57

Add:

2x = 53

9x = 57

11x = 110

Solve algebraically:

x = 110 : 11

x = 10

Now solve for y:

2 (10) + 3y = 53

20 + 3y = 53

3y = 53 - 20

3y = 33

y = 33 : 3

y = 11

Verify for the second equation:

3x - y = 19

3 (10) - (11) = 19

30 - 11 = 19

30 = 19 + 11

30 = 30 (Correct)

Cheers!