How do you solve the system of equations #6x + 2y = 10# and #4x + 9y = - 47#?

1 Answer
Mark D.
May 6, 2018

#x=4 and y=-6#

Explanation:

Given #6x+2y=10#
and #4x+9y=-47# we need to multiply the first equation by 9 and the second equation by 2. This will give us #18y# in both of the new equations.

#=> 54x+18y=90#
and # 8x+18y=-94#
subtracting one from the other leaves

#46x=184#
divide both sides by 46
#x=4#

put #x=4# into any of the four equations to find y

I'll use #6x+2y=10# #=> 6xx4+2y=10#
#24+2y=10# subtract 24 from both sides
# 2y=-12 # divide both sides by 2
#y=-6#

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