Answer :
x + y = 92
x/5 + y/2 = 34 / both sides *10
10.x/5 + 10.y/2 = 340
2x + 5y = 340
__________________________________
x + y = 92 /both sides *-2
2x + 5y = 340
__________________________________
-2x -2y = -184
+ 2x +5y = 340
3y = 156
y = 32
x + y = 92
x + 32 = 92
x = 60
x/5 + y/2 = 34 / both sides *10
10.x/5 + 10.y/2 = 340
2x + 5y = 340
__________________________________
x + y = 92 /both sides *-2
2x + 5y = 340
__________________________________
-2x -2y = -184
+ 2x +5y = 340
3y = 156
y = 32
x + y = 92
x + 32 = 92
x = 60
[tex]x+y=92\\
\frac{1}{5}x+\frac{1}{2}y=34\\\\
x=92-y\\
2x+5y=340\\\\
2(92-y)+5y=340\\\
184-2y+5y=340\\
3y=156\\
y=52\\\\
x+52=92\\
x=40[/tex]