document.write( "Question 423668: solve the system of equations what is the solution set
\n" ); document.write( "x+5y=6
\n" ); document.write( "x=7-5y \n" ); document.write( "
Algebra.Com's Answer #295417 by algebrahouse.com(1659)\"\" \"About 
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solve the system of equations what is the solution set\r
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\n" ); document.write( "\n" ); document.write( "x + 5y = 6
\n" ); document.write( "x = 7 - 5y\r
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\n" ); document.write( "\n" ); document.write( "7 - 5y + 5y = 6 {substituted (7 - 5y), in for x, into top equation}
\n" ); document.write( "7 = 6 {the variable disappeared and a false statement is the result}
\n" ); document.write( "= no solution\r
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\n" ); document.write( "\n" ); document.write( "Whenever the variable disappears and you get a statement that is never true
\n" ); document.write( "then. there is \"no solution\". In other words, the two lines never meet, or are parallel.\r
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\n" ); document.write( "\n" ); document.write( "Whenever the variable disappears and you get a statement that is always true
\n" ); document.write( "then, there are \"infinite solutions\". In other words, the two lines are the same,
\n" ); document.write( "having infinite intersecting points.
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