document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194003>Question 1194003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello! I tried my best to input the question, I'm unsure if there is a better way to type out the matrix portion of the question but I hope its readable (The brackets are meant to be connected). any help is appreciated! thank you<BR>\n" );
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document.write( "The following augmented matrix is in​ row-echelon form and represents a linear system. Solve the system by using​ back-substitution, if possible.<BR>\n" );
document.write( "[1 3| 6]<BR>\n" );
document.write( "[0 1| -1]<BR>\n" );
document.write( "What is the solution to the linear​ system? </SPAN>\n" );
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document.write( "The bottom row of 0, 1, -1 tells us we have the equation 0x + 1y = -1<BR>\n" );
document.write( "That leads to y = -1\r<BR>\n" );
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document.write( "The top row of 1, 3, 6 tells us we have the equation 1x+3y = 6 or simply x+3y = 6<BR>\n" );
document.write( "Plug in y = -1 and solve for x. <BR>\n" );
document.write( "This is the back-substitution portion.<BR>\n" );
document.write( "Substitution because we replace y with -1<BR>\n" );
document.write( "The \"back\" part refers to us going back up the matrix.\r<BR>\n" );
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document.write( "x+3y = 6<BR>\n" );
document.write( "x+3(-1) = 6<BR>\n" );
document.write( "x-3 = 6<BR>\n" );
document.write( "x-3+3 = 6+3<BR>\n" );
document.write( "x = 9\r<BR>\n" );
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document.write( "The solution is (x,y) = (9, -1)<BR>\n" );
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