10. Check

If

x = 2

y = 1

z = 3

The first equation becomes

2(2) + 3(1) + 3 = 10

4 + 3 + 3 = 10

10 = 10

The second equation becomes

(2) - (1) + (3) = 4

2 - 1 + 3 = 4

4 = 4

The third equation becomes

4(2) - (1) - 5(3) = - 8

8 - 1 - 15 = - 8

- 8 = - 8

and the solutions check in all three equations.