How do solve the following linear system?: # y = 5x - 7, y = 4x + 4 #?

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How do solve the following linear system?: # y = 5x - 7, y = 4x + 4 #?

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Answer 1 · 2018-03-20T02:26:29

Notice that they both have #y# by itself, so if you set them equal to each other you can solve for x. This makes sense if you consider that #y# has the same value, and must be equal to itself.

Explanation:

#y=5x-7 and y=4x+4#
#5x-7=4x+4#
Subtract #4x# from both sides
#x-7=4#
Add 7 to both sides
#x=11#
#5(11)-7=48=4(11)+4#

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How do solve the following linear system?: # y = 5x - 7, y = 4x + 4 #?

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