document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227730>Question 227730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone pls show me how to solve this equation using the addition/elimination process?\r<BR>\n" );
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document.write( "1.8x-2y=0.9<BR>\n" );
document.write( "0.04x+0.18y=0.15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169197 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can someone pls show me how to solve this equation using the addition/elimination process?\r<BR>\n" );
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document.write( "1.8x-2y=0.9        Equation A<BR>\n" );
document.write( "0.04x+0.18y=0.15   Equation B\r<BR>\n" );
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document.write( "Step 1.  Multiply by 0.09 to Equation A to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.162x-0.18y=0.081 ALIGN=MIDDLE  ALT=\"0.162x-0.18y=0.081\"   DISABLED_style= \"max-width:90%; height:auto;\" >    Equation A1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04x%2B0.18y=0.15 ALIGN=MIDDLE  ALT=\"0.04x%2B0.18y=0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" >    Equation B\r<BR>\n" );
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document.write( "Step 2.  Add Equations A1 and B to eliminate the y terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.162x%2B0.04x-0.18y%2B0.18y=0.081%2B0.15 ALIGN=MIDDLE  ALT=\"0.162x%2B0.04x-0.18y%2B0.18y=0.081%2B0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.202x=0.231 ALIGN=MIDDLE  ALT=\"0.202x=0.231\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  Divide by 0.202 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.202x%2F0.202=0.231%2F0.202 ALIGN=MIDDLE  ALT=\"0.202x%2F0.202=0.231%2F0.202\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.143 ALIGN=MIDDLE  ALT=\"x=1.143\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.143 ALIGN=MIDDLE  ALT=\"x=1.143\"   DISABLED_style= \"max-width:90%; height:auto;\" > into Equation A  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.8x-2y=0.9 ALIGN=MIDDLE  ALT=\"1.8x-2y=0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to solve for y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.8%2A1.143-2y=0.9 ALIGN=MIDDLE  ALT=\"1.8%2A1.143-2y=0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.0584-2y=0.9 ALIGN=MIDDLE  ALT=\"2.0584-2y=0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.  Add 2y-0.9 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.0584-2y%2B2y-0.9=0.9%2B2y-0.9 ALIGN=MIDDLE  ALT=\"2.0584-2y%2B2y-0.9=0.9%2B2y-0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.1584=2y ALIGN=MIDDLE  ALT=\"1.1584=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6.  Divide by 2 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0.5792 ALIGN=MIDDLE  ALT=\"y=0.5792\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7.  ANSWER:  The solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.143 ALIGN=MIDDLE  ALT=\"x=1.143\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0.5792 ALIGN=MIDDLE  ALT=\"y=0.5792\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As a check, use the substitution shown below which have the same results.\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++++1.8%5Cx+%2B+-2%5Cy+=+0.9%2C%0D%0A++++0.04%5Cx+%2B+0.18%5Cy+=+0.15+%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving -2*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.8%2Ax+=+0.9+-+-2%2Ay ALIGN=MIDDLE  ALT=\"1.8%2Ax+=+0.9+-+-2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0.9%2F1.8+-+-2%2Ay%2F1.8 ALIGN=MIDDLE  ALT=\"x+=+0.9%2F1.8+-+-2%2Ay%2F1.8\"   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=0.04%2A%280.9%2F1.8+-+-2%2Ay%2F1.8%29+%2B+0.18%5Cy+=+0.15 ALIGN=MIDDLE  ALT=\"0.04%2A%280.9%2F1.8+-+-2%2Ay%2F1.8%29+%2B+0.18%5Cy+=+0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=0.579207920792079. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0.9%2F1.8+-+-2%2Ay%2F1.8 ALIGN=MIDDLE  ALT=\"x+=+0.9%2F1.8+-+-2%2Ay%2F1.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=1.14356435643564.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=1.14356435643564%2C+y=0.579207920792079+%29 ALIGN=MIDDLE  ALT=\"system%28+x=1.14356435643564%2C+y=0.579207920792079+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "   \r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV\r<BR>\n" );
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document.write( " </SPAN>\n" );
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