document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461920>Question 461920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following systems of equations and state if any lines are parallel: \r<BR>\n" );
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document.write( "y + 7x + 6 = 0<BR>\n" );
document.write( "y = 2x + 30\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316691 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Solve the following systems of equations and state if any lines are parallel:\"\r<BR>\n" );
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document.write( "y + 7x + 6 = 0 ----> y = -7x - 6 {subtracted 7x and 6 from both sides}<BR>\n" );
document.write( "y = 2x + 30 \r<BR>\n" );
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document.write( "Slope-intercept form is y = mx + b<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept\r<BR>\n" );
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document.write( "In y = -7x - 6, the slope is -7<BR>\n" );
document.write( "In y = 2x + 30, the slope is 2<BR>\n" );
document.write( "Parallel lines have equal slopes, <BR>\n" );
document.write( "therefore these lines are not parallel.\r<BR>\n" );
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document.write( "Now to solve:<BR>\n" );
document.write( "y = -7x - 6 {re-arranged first equation}<BR>\n" );
document.write( "y = 2x + 30 {original second equation}\r<BR>\n" );
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document.write( "-7x - 6 = 2x + 30 {substituted -7x - 6, in for y, into second equation}<BR>\n" );
document.write( "-6 = 9x + 30 {added 7x to both sides}<BR>\n" );
document.write( "-36 = 9x {subtracted 30 from both sides}<BR>\n" );
document.write( "x = -4 {divided both sides by 9}\r<BR>\n" );
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document.write( "y = 2x + 30 {original second equation}<BR>\n" );
document.write( "y = 2(-4) + 30 {substituted -4, in for x, into y = 2x + 30}<BR>\n" );
document.write( "y = -8 + 30 {multiplied 2 by -4}<BR>\n" );
document.write( "y = 22 {combined like terms}\r<BR>\n" );
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document.write( "x = -4 and y = 22<BR>\n" );
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