document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701258>Question 701258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Linear systems word problem:<BR>\n" );
document.write( "\"The cost of six pennants and nine balls is $48. The cost of three balls is $1 more than the cost of one pennant. What are the costs of one pennant and one ball?\"\r<BR>\n" );
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document.write( "I need help writing two equations and can it be solved using elimination? If not,can you solve it for me using substitution? Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432320 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cost of six pennants and nine balls is $48. The cost of three balls is $1 more than the cost of one pennant. What are the costs of one pennant and one ball?\" <BR>\n" );
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document.write( "Value Equations:<BR>\n" );
document.write( "6p + 9b = 48<BR>\n" );
document.write( "3b = p + 1<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Substitution:<BR>\n" );
document.write( "p = 3b-1<BR>\n" );
document.write( "Substitute for \"p\" and solve for \"b\":<BR>\n" );
document.write( "6(3b-1) + 9b = 48<BR>\n" );
document.write( "18b - 6 +  9b = 48<BR>\n" );
document.write( "27b = 54<BR>\n" );
document.write( "b = $2.00 (cost of 1 ball)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"p\":<BR>\n" );
document.write( "p = 3b-1<BR>\n" );
document.write( "p = 3*2-1<BR>\n" );
document.write( "p = $5.00 (cost of one pennant)<BR>\n" );
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document.write( "Elimination:<BR>\n" );
document.write( "6p + 9b = 48<BR>\n" );
document.write( "3b = p + 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Rearrange <BR>\n" );
document.write( "3b + 2p = 16<BR>\n" );
document.write( "3b - p  = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Subtract and solve for \"p\"<BR>\n" );
document.write( "3p = 15<BR>\n" );
document.write( "p = $5.00 (pennant)<BR>\n" );
document.write( "Solve for \"b\":<BR>\n" );
document.write( "3b - p = 1<BR>\n" );
document.write( "3b - 5 = 1<BR>\n" );
document.write( "3b = 6<BR>\n" );
document.write( "b = $2.00 (ball)<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );