How do you solve #\frac { 1} { 4} = \frac { 2} { 7} + y#?

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Answer 1 · 2017-09-29T03:36:12

# y = \frac{-1}{4}#

#\frac { 1} { 4} = \frac { 2} { 7} + y#

Isolate the variable #y# by using method of transposition,

# y = \frac { 1} { 4} - \frac { 2} { 7} #

Make the denominators equal,

# y = \frac { 1} { 4} (7/7)- \frac { 2} { 7} (4/4)#

# y = \frac {7} {28} - \frac {14} {28} #

# y = \frac {7-14} {28} #

# y = \frac {-7} {28} #

# y = \frac{-1}{4}#