Given equations are 5x + y = 15 and 3x + 2y = 16.
Solving first equation in the form y=mx+b,
5x + y = 15
y = -5x + 15
Substituting y= -5x+15 from first equation into second equation :-
3x + 2y = 16
3x + 2·(-5x + 15) = 16
3x - 10x + 30 = 16
-7x + 30 = 16
7x = 30 - 16 = 14
x = 2
Substituting x=2 into first equation :-
5x + y = 15
5(2) + y = 15
10 + y = 15
y = 15 - 10
y = 5
So final answers are x=2, y=5.
