How do solve the following linear system?: # 4x+y=6 , 3x+2 y=-24 #?

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How do solve the following linear system?: # 4x+y=6 , 3x+2 y=-24 #?

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Answer 1 · 2016-02-19T23:33:36

I found:
#x=36/5#
#y=-114/5#

Explanation:

I would collect #y# from the first equation and substitute into the second:
#y=6-4x#
into the second:
#3x+2(color(red)(6-4x))=-24#
solve for #x#:
#3x+12-8x=-24#
#5x=36#
#x=36/5#
Substitute this into the first:
#y=6-4(color(blue)(36/5))=-114/5#

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How do solve the following linear system?: # 4x+y=6 , 3x+2 y=-24 #?

1 Answer

Explanation:

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