Question

7x - 5y = 4 and 4x - 5y = -8

          7x - 5y = 4 and 4x - 5y = -8
        

Added by Pablo R.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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7x - 5y = 4 and 4x - 5y = -8
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Transcript

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00:01 So what we have is 2x minus 3y equals negative 7, as well as 4x plus 5y equals eight.
00:11 So i'm gonna solve this using elimination.
00:13 So if you want another strategy of doing this, there's other ways of doing it.
00:18 This is just my preference.
00:19 What i'm gonna do is multiply this top equation, and multiply both sides by negative two.
00:26 And that's totally normal because as i distribute that negative two into the problem, i'm getting negative 4x plus 6y equals 14.
00:37 And that's equivalent still, still equals, because as long as you're doing the same thing on both sides, the equality holds true.
00:44 So now what i'm gonna do is add straight down.
00:49 So first of all, if you add equal things, those two are equal, two equal things, the result stays equal.
00:57 The reason why i wanna add straight down is because 4x and negative 4x is 0x.
01:03 Well, zero times anything is still zero, and adding to it won't change anything...
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