How do you solve the system of equations #-6x + 7y = - 12# and #12x - 4y = 24#?

1 Answer
Jul 7, 2017

Enlarge the first equation by 2 and than combine the equations. #x=2# and #y=0#

Explanation:

#-12x + 14y = -24# (the first equation after multiplied by 2)
#12x - 4y = 24#

Combine the equations provided above, yielding
#14y-4y = 0#
#y=0#

Now find x.
#-6x + 7times0=-12#

#-6x =-12#

#x=2#

Your solution is #x=2# and #y=0#