document.write( "Question 176567: how can you tell from the equations how many solutions the linear system has?\r
\n" ); document.write( "\n" ); document.write( "2x + y = -1
\n" ); document.write( "-6x - 3y = -15
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Algebra.Com's Answer #131640 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
again slope is key ....so lets re-write these equations in slope intercept form which is
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\n" ); document.write( "y=mx+b where m is the slope
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\n" ); document.write( "y=-2x-1
\n" ); document.write( "-3y=6x-15--->divide terms by -3--->y=-2x+5
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\n" ); document.write( "ok in both cases the slope is -2 and it is not the same line(same exact equation) so the lines are parallel.
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\n" ); document.write( "When two lines are parallel there is NO solution.
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