3x + 5y = 47 and 2x + 3y = 29

answer

3x + 5y = 47 multiply this by 2

2x + 3y = 29 multiply this by 3

6 x +10 y = 94
6 x + 9 y = 87
------------------------ subtract to get rid of x
y = 7
go back and get x
2 x + 3 y = 29
2 x + 21 = 29
2 x = 8
x = 4