How do you solve the system of equations #4y = 2x - 9# and #- 6x - 3y = 3#?

1 Answer
Mar 30, 2018

The system is:
#4y=2x-9#
#-6x-3y=3#

Explanation:

Expand the first equation by 3.
#6x-27=12y#
#-6x-3y=3#
sum the equations:
#0 -27-3y=12y+3#
rearrange it:
#-3y-12y=3+27#
#-15y=30#
#y=-2#
put it in one of the equation:
#4*(-2)=2x-9#
#2x=-8+9=1#
#x=1/2#