document.write( "Question 462832: Solve the system of equations
\n" ); document.write( "x+3y=8(1)
\n" ); document.write( "x=7-3y(2) \n" ); document.write( "
Algebra.Com's Answer #317200 by algebrahouse.com(1659)\"\" \"About 
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x + 3y = 8
\n" ); document.write( "x = 7 - 3y\r
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\n" ); document.write( "\n" ); document.write( "7 - 3y + 3y = 8 {substituted 7 - 3y, in for x, into top equation}
\n" ); document.write( "7 = 8 {combined like terms}
\n" ); document.write( "= no solution\r
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\n" ); document.write( "\n" ); document.write( "When the variable disappears and you get a false statement, such as 0 = 3,
\n" ); document.write( "then thee is \"no solution\". This means, the two lines would not intersect.
\n" ); document.write( "In other words, the two equations, when graphed, would create parallel lines.\r
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\n" ); document.write( "\n" ); document.write( "When the variable disappears and you get a true statement, such as 0 = 0,
\n" ); document.write( "then there are \"infinite solutions\". This means, the two lines intersect
\n" ); document.write( "in an infinite number of points. In other words, the two equations are equivalent,
\n" ); document.write( "and would create the same line when graphed.
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