document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622532>Question 622532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following systems of equations and state if any lines are parallel<BR>\n" );
document.write( "y + 7x + 6 = 0<BR>\n" );
document.write( "y = 2x + 30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391481 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "Solve the following system of equations and state if any lines are parallel.<BR>\n" );
document.write( "y + 7x + 6 = 0<BR>\n" );
document.write( "y = 2x + 30<BR>\n" );
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document.write( "We can solve this using the substitution method. Substitute 2x+30 for y in the first equation.<BR>\n" );
document.write( "y + 7x + 6 = 0<BR>\n" );
document.write( "(2x + 30) + 7x + 6 = 0<BR>\n" );
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document.write( "Simplify and solve for x.<BR>\n" );
document.write( "9x + 36 = 0<BR>\n" );
document.write( "9x = -36<BR>\n" );
document.write( "x = -36/9<BR>\n" );
document.write( "x = -4<BR>\n" );
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document.write( "Substitute -4 for x in the second equation.<BR>\n" );
document.write( "y = 2x + 30<BR>\n" );
document.write( "y = 2(-4) + 30<BR>\n" );
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document.write( "Simplify and solve for y.<BR>\n" );
document.write( "y = -8 + 30<BR>\n" );
document.write( "y = 22<BR>\n" );
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document.write( "The solution to this system is the ordered pair (-4, 22). The lines are not parallel.<BR>\n" );
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document.write( "It's always a good idea to check the solution in both equations.<BR>\n" );
document.write( "y + 7x + 6 = 0<BR>\n" );
document.write( "(22) + 7(-4) + 6 = 0<BR>\n" );
document.write( "22 + -28 + 6 = 0<BR>\n" );
document.write( "0 = 0 Check!<BR>\n" );
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document.write( "y = 2x + 30<BR>\n" );
document.write( "(22) = 2(-4) + 30<BR>\n" );
document.write( "22 = -8 + 30<BR>\n" );
document.write( "22 = 22 Check!<BR>\n" );
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document.write( "Hope this helps! Feel free to email if there is any part you'd like to explain better.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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