document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389657>Question 389657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of linear equations using the Substitution Method.\r<BR>\n" );
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document.write( "x+3y=2<BR>\n" );
document.write( "-2x-4y=2<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 #276167 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+3y=2_-2x-4y=2\r<BR>\n" );
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document.write( "Since 3y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3y from both sides.<BR>\n" );
document.write( "x=-3y+2_-2x-4y=2\r<BR>\n" );
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document.write( "Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is -3y+2.<BR>\n" );
document.write( "x=-3y+2_-2(-3y+2)-4y=2\r<BR>\n" );
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document.write( "Multiply -2 by each term inside the parentheses.<BR>\n" );
document.write( "x=-3y+2_6y-4-4y=2\r<BR>\n" );
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document.write( "Since 6y and -4y are like terms, add -4y to 6y to get 2y.<BR>\n" );
document.write( "x=-3y+2_2y-4=2\r<BR>\n" );
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document.write( "Since -4 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4 to both sides.<BR>\n" );
document.write( "x=-3y+2_2y=4+2\r<BR>\n" );
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document.write( "Add 2 to 4 to get 6.<BR>\n" );
document.write( "x=-3y+2_2y=6\r<BR>\n" );
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document.write( "Divide each term in the equation by 2.<BR>\n" );
document.write( "x=-3y+2_(2y)/(2)=(6)/(2)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "x=-3y+2_y=(6)/(2)\r<BR>\n" );
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document.write( "Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "x=-3y+2_y=3\r<BR>\n" );
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document.write( "Replace all occurrences of y with the solution found by solving the last equation for y.  In this case, the value substituted is 3.<BR>\n" );
document.write( "x=-3(3)+2_y=3\r<BR>\n" );
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document.write( "Multiply -3 by each term inside the parentheses.<BR>\n" );
document.write( "x=-9+2_y=3\r<BR>\n" );
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document.write( "Add 2 to -9 to get -7.<BR>\n" );
document.write( "x=-7_y=3\r<BR>\n" );
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document.write( "This is the solution to the system of equations.<BR>\n" );
document.write( "x=-7_y=3 </SPAN>\n" );
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