How do you solve the following linear system: # 2x + 4y = 7 , x + y = 3 #?

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How do you solve the following linear system: # 2x + 4y = 7 , x + y = 3 #?

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Answer 1 · 2016-01-23T11:37:52

From the second expression you can derive that #y=3-x# (by subtracting #x# from both sides.

Explanation:

Now you can substitute (=replace) every #y# in the first expression by this value:
#->2x+4*(3-x)=7# work away the brackets:
#->2x+12-4x=7# put together and subtract 12 on both sides:
#->2x-4x=7-12->-2x=-5#

#->x=2 1/2->y=3-2 1/2=1/2#

Just to make sure, you will want to put the answers back into the question.

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How do you solve the following linear system: # 2x + 4y = 7 , x + y = 3 #?

1 Answer

Explanation:

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