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In the following exercises, solve the following systems of equations by graphing. $\left\{\begin{array}{l}4 x-3 y=8 \\ 8 x-6 y=14\end{array}\right.$

   In the following exercises, solve the following systems of equations by graphing.
$\left\{\begin{array}{l}4 x-3 y=8 \\ 8 x-6 y=14\end{array}\right.$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 4, Problem 19 ↓
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In the following exercises, solve the following systems of equations by graphing. $\left\{\begin{array}{l}4 x-3 y=8 \\ 8 x-6 y=14\end{array}\right.$
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Transcript

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00:01 Okay, for these equations, we want to solve them by graphing.
00:04 In order to do that, i'm going to rewrite them into y -equals mx plus b form, because m is going to be my slope, and b is my y intercept.
00:12 So for the first equation, i'm going to bring the 3x over, so that means i'm going to subtract it.
00:17 So that 5y is equal to a negative 3x plus 10.
00:21 And then i divide everything by 5.
00:24 So y equals a negative 3 over 5x plus 2.
00:29 The second equation is already in y equals mx plus b, so i just need to start plotting these lines then.
00:35 So this one, the first line crosses at a positive two, and it's got negative three -fifths -firt slope.
00:41 So crossing at positive two means it's crossing at zero -two.
00:44 And negative three -fifths -fifth slope is going to go up three, so one, two, three, up, and then one, two, three, four, five to the left.
00:51 And also go down three, and then one, two, three, four, five to the right.
00:57 So just make a nice straight line there.
01:02 That one missed a little bit, so i'll fix that.
01:05 That's better...
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