document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049373>Question 1049373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travels 355 miles by going one speed for 3 hours and another speed for 4 hours. if it travels 3 hours at the second speed and 4 hours at the first speed, it would have gone 345 miles. find the two speeds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664951 by </B><A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><B>advanced_Learner(501)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><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=advanced_Learner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=664951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equations are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=355 ALIGN=MIDDLE  ALT=\"355\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4y ALIGN=MIDDLE  ALT=\"3x%2B4y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=345 ALIGN=MIDDLE  ALT=\"345\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B3y ALIGN=MIDDLE  ALT=\"4x%2B3y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++3%5Cx+%2B+4%5Cy+=+355%2C%0D%0A++++4%5Cx+%2B+3%5Cy+=+345+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++3%5Cx+%2B+4%5Cy+=+355%2C%0D%0A++++4%5Cx+%2B+3%5Cy+=+345+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 4*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ax+=+355+-+4%2Ay ALIGN=MIDDLE  ALT=\"3%2Ax+=+355+-+4%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+355%2F3+-+4%2Ay%2F3 ALIGN=MIDDLE  ALT=\"x+=+355%2F3+-+4%2Ay%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28355%2F3+-+4%2Ay%2F3%29+%2B+3%5Cy+=+345 ALIGN=MIDDLE  ALT=\"4%2A%28355%2F3+-+4%2Ay%2F3%29+%2B+3%5Cy+=+345\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=55. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+355%2F3+-+4%2Ay%2F3 ALIGN=MIDDLE  ALT=\"x+=+355%2F3+-+4%2Ay%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=45.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=45%2C+y=55+%29 ALIGN=MIDDLE  ALT=\"system%28+x=45%2C+y=55+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( " </SPAN>\n" );
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