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Solve each system of equations by Gaussian elimination. $\left\{\begin{aligned} x-y & =1 \\ 2 x+y & =5 \\ 3 x-4 y & =2\end{aligned}\right.$

   Solve each system of equations by Gaussian elimination.
$\left\{\begin{aligned} x-y & =1 \\ 2 x+y & =5 \\ 3 x-4 y & =2\end{aligned}\right.$
Precalculus: A Right Triangle Approach
Precalculus: A Right Triangle Approach
Ratti, McWaters,… 5th Edition
Chapter 9, Problem 61 ↓
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Solve each system of equations by Gaussian elimination. $\left\{\begin{aligned} x-y & =1 \\ 2 x+y & =5 \\ 3 x-4 y & =2\end{aligned}\right.$
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Transcript

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00:01 Welcome to numerate in the current problem we are given 2x plus y is equals to 1.
00:13 2x plus y is equals to 1 and 5x plus 2y is equals to 1.
00:21 5x plus 2y is equals to 1.
00:21 5x plus 2y is equals to 1.
00:26 So the corresponding matrix format will be 2 .1 .1 .5.
00:40 Now, we will do what? we have to eliminate the y.
00:45 So we multiply the entire first row with 1.
00:49 With 2.
00:50 So 2 times row 1 would be our new row 1.
00:56 So that is we can write 4 to 2 would be 5 to 1...
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