How do you solve the system of equations #6x+2y=-6# and #-6x+2y=6# by elimination?

1 Answer
Ratnaker Mehta
Jul 18, 2016

The soln. is #x=-1, y=0#

Explanation:

Just add the eqns. to get,

#6x+2y-6x+2y=-6+6#

#rArr 4y=0 rArr y=0#

Putting #y=0# in the first eqn., we have, #6x=-6 rArr x=-1#

Notice that adding the eqns. was, in fact, elimination of #x#.

#:.# The soln. is #x=-1, y=0#

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