How do you solve the simultaneous equations #2x+3y= -3# and #3x-2y=28#?

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How do you solve the simultaneous equations #2x+3y= -3# and #3x-2y=28#?

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Answer 1 · 2015-07-29T14:15:11

I found:
#x=6#
#y=-5#

Explanation:

You could multiply the first equation by #2# and the second by #3# getting:
#{4x+6y=-6#
#{9x-6y=84# add the two together (in columns):
#13x+0=78#
#x=78/13=6#
substitute this value back into the first equation:
#2*6+3y=-3#
#3y=-15#
#y=-15/3=-5#

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How do you solve the simultaneous equations #2x+3y= -3# and #3x-2y=28#?

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