SOLUTION: Solve each system by the addition method. (1/8)x+(1/4)y=3 (1/16)x+(1/2)y=7 and 1.5x-2y=-0.25 3x+1.5Y=6.375

Algebra ->  Graphs -> SOLUTION: Solve each system by the addition method. (1/8)x+(1/4)y=3 (1/16)x+(1/2)y=7 and 1.5x-2y=-0.25 3x+1.5Y=6.375      Log On


   

Question 120735: Solve each system by the addition method.
(1/8)x+(1/4)y=3
(1/16)x+(1/2)y=7

and
1.5x-2y=-0.25
3x+1.5Y=6.375
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
x/8+y/4=3
x/16+y/2=7 now multiply the second equation by -1/2 & add.
x/8+y/4=3
-x/32-y/4=-7/2
--------------------------------------
x/8-x/32=3-7/2
4x/32-x/32=6/2-7/2
3x/32=-1/2 now cross multiply.
3x*2=-32
6x=-32
x=-32/6
x=-16/3 answer.
-16/3*1/8+y/4=3
-16/24+y/4=3
y/4=3+16/24
y/4=3+2/3
y/4=9/3+2/3
y/4=11/3 cross multiply
3y=44
y=44/3 answer.
proof
(-16/3)/16+(44/3)/2=7
-1/3+44/6=7
-1/3+22/3=7
21/3=7
7=7