Question

Solve using the substitution method.
x-2y=5
2x-y=16

Answer 1

Solve both equations for x:
x = 5 + 2y
x = (16 + y)/2

Substitute the x for the other equation and solve for y:

5 + 2y = (16 + y)/2

5 + 2y = 8 + y/2

2y = 3 + y/2

3y/2 = 3

3y = 6

y = 2

Answer 2

using the ist eq. x-2y=5
x=2y+5 substitute this to the 2nd eq 2x-y=16
that is 2(2y+5)-y=16
4y+10-y =16
3y+10=16
3y=16-10
3y=6
y=6/3
y=2 now subs his to the ist eq or 2nd eq,, im choosing the ist eq. x-2y=5 therefore
x-2(2)=5
x-4 = 5
x=5+4=9 answ..