document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062050>Question 1062050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many solutions does the system have?\r<BR>\n" );
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document.write( "x = -4y + 4<BR>\n" );
document.write( "2x + 8y = 8 </SPAN>\n" );
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document.write( "Since the first equation can be written:  x + 4y = 4<BR>\n" );
document.write( "and then multiplying it by 2 gives:   2x + 8y = 8\r<BR>\n" );
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document.write( "That equation matches the 2nd one, so you really only have one equation with two unknowns.\r<BR>\n" );
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document.write( "In this case, there will be an infinite number of solutions:\r<BR>\n" );
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document.write( "   2x+8y = 8<BR>\n" );
document.write( "             y = (1/8)(-2x + 8)<BR>\n" );
document.write( "             y = -(1/4)x + 1<BR>\n" );
document.write( "—\r<BR>\n" );
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document.write( "So the solutions are all the points on the line y = -(1/4)x + 1.<BR>\n" );
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document.write( " </SPAN>\n" );
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