document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174560>Question 1174560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The graphs of the equations 2x  -  By = 7 and Ax + 3y = 10 are both the same line.\r<BR>\n" );
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document.write( "Find A and B. </SPAN>\n" );
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document.write( "If the equations are to be of the same line, then the two equations in Px+Qy=C should both have the same constant C.<br><BR>\n" );
document.write( "So multiply the first equation by 10/7.  Then we have<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%2F7%29x-%2810B%2F7%29y+=+10 ALIGN=MIDDLE  ALT=\"%2820%2F7%29x-%2810B%2F7%29y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2B3y+=+10 ALIGN=MIDDLE  ALT=\"Ax%2B3y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now, since these equations are the same,<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+20%2F7 ALIGN=MIDDLE  ALT=\"A+=+20%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "and<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10B%2F7+=+3 ALIGN=MIDDLE  ALT=\"-10B%2F7+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10B+=+21 ALIGN=MIDDLE  ALT=\"-10B+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+-21%2F10 ALIGN=MIDDLE  ALT=\"B+=+-21%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWERS: A = 20/7; B = -21/10<br><BR>\n" );
document.write( " </SPAN>\n" );
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