How do you solve the system of equations #-\frac { 3} { 4} x - \frac { 2} { 3} y = - 1# and #\frac { 1} { 2} x - \frac { 5} { 6} y = - 7#?

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Answer 1 · 2018-02-03T04:34:39

Like this.

#1.# Start: #-3/4x-2/3y=-1#

Move the #-3/4x# over
(#-2/3y=-3/4x-1#)

Multiply by y's reciprocal
(#y=9/8x+3/2#)

#2.# Start: #1/2x-5/6y=-7#

Move the #1/2x# over
(#-5/6y=1/2x-7#)

Multiply by y's reciprocal
(#y=-6/10x+35/6#)

Reduce answers
(#y=-3/5x+35/6#)