How do you solve #5/16y + 3/2y = 2 + 1/4y#?

2 Answers
May 21, 2018

Answer:

#32/25#

Explanation:

#5/16y+3/2y=2+1/4y#

Make your denominator the same
#5/16y+24/16y=2+4/16y#

Move your “y” to one side
#29/16y-4/16y=2#

Simplify
#25/16y=2#

Multiply both sides by #16/25#
#y=2times16/25#

Simplify
#y=32/25#

May 21, 2018

Answer:

#y = 32/25 = 1.28#

Explanation:

#5/16y + 3/2y = 2 + 1/4y#

Multiply all the terms by the least common multiple of the three denominators, which is #16#.

#(16)5/16 + (16)3/2y = (16)2 + (16)1/4y#

Now cancel out all of the terms to simplify:

#stackrelcolor(red)1cancel16 5/cancel(16)y + stackrelcolor(red)8 cancel(16)3/cancel2y = 32 + stackrelcolor(red)4cancel16 1/cancel4y#

#color(red)1(5)y + color(red)8(3)y = 32 + color(red)4(1)y#

#5y + 24y = 32 + 4y#

#29y = 32 + 4y#

#25y = 32#

#y = 32/25 = 1.28#