document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269017>Question 269017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can u please help me solve this equation by subsitution or the elimination method: <BR>\n" );
document.write( "2x-3y=-21<BR>\n" );
document.write( "5x+6y=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197186 by </B><A HREF=/tutors/aboutme.mpl?userid=persian52><B>persian52(161)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=persian52><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=persian52><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's in detail how to solve the equation by using substitution method, hope you get it now!<BR>\n" );
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document.write( "&#9658;&#9658; 2x-3y=-21_5x+6y=4<BR>\n" );
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document.write( "&#9658;Since -3y does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3y to both sides.<BR>\n" );
document.write( "2x=3y-21_5x+6y=4\r<BR>\n" );
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document.write( "&#9658;Divide each term in the equation by 2.<BR>\n" );
document.write( "(2x)/(2)=(3y)/(2)-(21)/(2)_5x+6y=4\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Simplify the left-hand side of the equation by canceling the common terms.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_5x+6y=4\r<BR>\n" );
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document.write( "&#9658;Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "x=(3(y-7))/(2)_5x+6y=4\r<BR>\n" );
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document.write( "&#9658;Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is (3(y-7))/(2).<BR>\n" );
document.write( "x=(3(y-7))/(2)_5((3(y-7))/(2))+6y=4\r<BR>\n" );
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document.write( "&#9658;Multiply 3 by each term inside the parentheses.<BR>\n" );
document.write( "x=((3y-21))/(2)_5((3(y-7))/(2))+6y=4\r<BR>\n" );
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document.write( "&#9658;Remove the parentheses around the expression 3y-21.<BR>\n" );
document.write( "x=(3y-21)/(2)_5((3(y-7))/(2))+6y=4\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Divide each term in the numerator by the denominator.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_5((3(y-7))/(2))+6y=4\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Multiply 3 by each term inside the parentheses.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_5(((3y-21))/(2))+6y=4\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Remove the parentheses around the expression 3y-21.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_5((3y-21)/(2))+6y=4\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Divide each term in the numerator by the denominator.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_5((3y)/(2)-(21)/(2))+6y=4\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Combine the numerators of all expressions that have common denominators.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_5((3y-21)/(2))+6y=4\r<BR>\n" );
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document.write( "&#9658;Multiply 5 by each term inside the parentheses.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15(y-7))/(2)+6y=4\r<BR>\n" );
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document.write( "&#9658;Multiply 15 by each term inside the parentheses.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_((15y-105))/(2)+6y=4\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Remove the parentheses around the expression 15y-105.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15y-105)/(2)+6y=4\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Divide each term in the numerator by the denominator.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15y)/(2)-(105)/(2)+6y=4\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Combine the numerators of all expressions that have common denominators.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15y-105)/(2)+6y=4\r<BR>\n" );
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document.write( "&#9658;Factor out the GCF of 15 from each term in the polynomial.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15(y)+15(-7))/(2)+6y=4\r<BR>\n" );
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document.write( "&#9658;Factor out the GCF of 15 from 15y-105.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15(y-7))/(2)+6y=4\r<BR>\n" );
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document.write( "&#9658;Multiply each term by a factor of 1 that will equate all the denominators.  In this case, all terms need a denominator of 2.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15(y-7))/(2)+6y*(2)/(2)=4\r<BR>\n" );
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document.write( "&#9658;Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 2.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15(y-7))/(2)+(6y*2)/(2)=4\r<BR>\n" );
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document.write( "&#9658;Multiply 6y by 2 to get 12y.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15(y-7))/(2)+(12y)/(2)=4\r<BR>\n" );
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document.write( "&#9658;The numerators of expressions that have equal denominators can be combined.  In this case, (15(y-7))/(2) and ((12y))/(2) have the same denominator of 2, so the numerators can be combined.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(15(y-7)+(12y))/(2)=4\r<BR>\n" );
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document.write( "&#9658;Simplify the numerator of the expression.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(27y-105)/(2)=4\r<BR>\n" );
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document.write( "&#9658;Factor out the GCF of 3 from each term in the polynomial.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(3(9y)+3(-35))/(2)=4\r<BR>\n" );
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document.write( "&#9658;Factor out the GCF of 3 from 27y-105.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(3(9y-35))/(2)=4\r<BR>\n" );
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document.write( "&#9658;Multiply each term in the equation by 2.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(3(9y-35))/(2)*2=4*2\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Simplify the left-hand side of the equation by canceling the common terms.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_3(9y-35)=4*2\r<BR>\n" );
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document.write( "&#9658;Multiply 4 by 2 to get 8.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_3(9y-35)=8\r<BR>\n" );
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document.write( "&#9658;Divide each term in the equation by 3.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(3(9y-35))/(3)=(8)/(3)\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Simplify the left-hand side of the equation by canceling the common terms.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_9y-35=(8)/(3)\r<BR>\n" );
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document.write( "&#9658;Since -35 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 35 to both sides.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_9y=35+(8)/(3)\r<BR>\n" );
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document.write( "&#9658;Simplify the right-hand side of the equation.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_9y=(113)/(3)\r<BR>\n" );
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document.write( "&#9658;Divide each term in the equation by 9.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_(9y)/(9)=(113)/(3)*(1)/(9)\r<BR>\n" );
document.write( "\n" );
document.write( "&#9658;Simplify the left-hand side of the equation by canceling the common terms.<BR>\n" );
document.write( "x=(3y)/(2)-(21)/(2)_y=(113)/(3)*(1)/(9)\r<BR>\n" );
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document.write( "&#9658;Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "=&#9658; x=(3y)/(2)-(21)/(2)_y=(113)/(27) </SPAN>\n" );
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