document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128663>Question 128663</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131482874/algebrahomeworkh>beginning algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Thank you for taking the time to help me on my lovely algebra headache homework. Your time is very much appreciated! Now on to the equation issue.\r<BR>\n" );
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document.write( "(((2x+1/5y=6))) a.(?,20) b.(9/5,?) I need help in finding the missing coordinates please walk me through this problem in hope I can grasp this linear equation stuff before it spirals out of control. Thank you once again for your time and efforts.<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 #94142 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=94142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sure you can grasp this. <BR>\n" );
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document.write( "The fundamental thing you need to understand is that coordinate points are always of the<BR>\n" );
document.write( "form (x, y). So the first value inside the parentheses is the value of x and the second value<BR>\n" );
document.write( "(after the comma) is the value of y. So the point (?, 20) tells you that you don't know the<BR>\n" );
document.write( "value of x, but the value of y is 20. So, you go to the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+%281%2F5%29y+=+6 ALIGN=MIDDLE  ALT=\"2x+%2B+%281%2F5%29y+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and you substitute 20 for y and then you solve for x. Substituting 20 for y in the equation <BR>\n" );
document.write( "results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+%281%2F5%29%2A20+=+6 ALIGN=MIDDLE  ALT=\"2x+%2B+%281%2F5%29%2A20+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And one-fifth of 20 is 4 which further reduces the equation to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+4+=+6 ALIGN=MIDDLE  ALT=\"2x+%2B+4+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Get rid of the 4 on the left side by subtracting 4 from both sides and you have:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+2 ALIGN=MIDDLE  ALT=\"2x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finally solve for x by dividing both sides of this equation by 2, the multiplier of x, and<BR>\n" );
document.write( "you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%2F2+=+1 ALIGN=MIDDLE  ALT=\"x+=+2%2F2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So you now know that when y equals 20, x equals -1. So the coordinate point you are looking<BR>\n" );
document.write( "for is (1, 20)<BR>\n" );
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document.write( "In the second part of this problem you are given the point (9/5, ?}. This tells you<BR>\n" );
document.write( "that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9%2F5 ALIGN=MIDDLE  ALT=\"x+=+9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you are to solve for y. Go to the equation again and this time substitute<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F5 ALIGN=MIDDLE  ALT=\"9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > for x and solve for y. The original equation was:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+%281%2F5%29y+=+6 ALIGN=MIDDLE  ALT=\"2x+%2B+%281%2F5%29y+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F5 ALIGN=MIDDLE  ALT=\"9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > for x and you have:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%289%2F5%29%2B%281%2F5%29y+=+6 ALIGN=MIDDLE  ALT=\"2%2A%289%2F5%29%2B%281%2F5%29y+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply the 2 times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F5 ALIGN=MIDDLE  ALT=\"9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F5+ ALIGN=MIDDLE  ALT=\"18%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > making the problem become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F5+%2B%281%2F5%29y+=+6 ALIGN=MIDDLE  ALT=\"18%2F5+%2B%281%2F5%29y+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Get rid of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F5 ALIGN=MIDDLE  ALT=\"18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the left side by subtracting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F5 ALIGN=MIDDLE  ALT=\"18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides, making<BR>\n" );
document.write( "the equation become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29y+=+6+-%2818%2F5%29 ALIGN=MIDDLE  ALT=\"%281%2F5%29y+=+6+-%2818%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can now get rid of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the left side by multiplying both sides of this equation<BR>\n" );
document.write( "(all terms in the equation) by 5 to make the equation become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+30+-+18 ALIGN=MIDDLE  ALT=\"y+=+30+-+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now just solve for y by algebraically combining the two terms on the right side to get:<BR>\n" );
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document.write( "y = 12<BR>\n" );
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document.write( "So the answer to the second problem is that the coordinate point is (9/5, 12)<BR>\n" );
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document.write( "Hope this helps to cure your headache.<BR>\n" );
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