document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430110>Question 430110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello there. Thank yall for all that you do. I am having a little difficulty with these three problems. Any asistance would be greatly appreciated. Thank you for your time.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "using the substitution method<BR>\n" );
document.write( "9m+n=10 and m-5n=42<BR>\n" );
document.write( "8x-7y=-41 and 4x+43=y<BR>\n" );
document.write( "5x+6y=-29 and -8+y=57\r<BR>\n" );
document.write( "\n" );
document.write( "(type an ordered pair) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298679 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=298679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9m+n=10_m-5n=42\r<BR>\n" );
document.write( "\n" );
document.write( "Since 9m does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 9m from both sides.<BR>\n" );
document.write( "n=-9m+10_m-5n=42\r<BR>\n" );
document.write( "\n" );
document.write( "Replace all occurrences of n with the solution found by solving the last equation for n.  In this case, the value substituted is -9m+10.<BR>\n" );
document.write( "n=-9m+10_m-5(-9m+10)=42\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply -5 by each term inside the parentheses.<BR>\n" );
document.write( "n=-9m+10_m+45m-50=42\r<BR>\n" );
document.write( "\n" );
document.write( "Since m and 45m are like terms, add 45m to m to get 46m.<BR>\n" );
document.write( "n=-9m+10_46m-50=42\r<BR>\n" );
document.write( "\n" );
document.write( "Since -50 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 50 to both sides.<BR>\n" );
document.write( "n=-9m+10_46m=50+42\r<BR>\n" );
document.write( "\n" );
document.write( "Add 42 to 50 to get 92.<BR>\n" );
document.write( "n=-9m+10_46m=92\r<BR>\n" );
document.write( "\n" );
document.write( "Divide each term in the equation by 46.<BR>\n" );
document.write( "n=-9m+10_(46m)/(46)=(92)/(46)\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "n=-9m+10_m=(92)/(46)\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "n=-9m+10_m=2\r<BR>\n" );
document.write( "\n" );
document.write( "Replace all occurrences of m with the solution found by solving the last equation for m.  In this case, the value substituted is 2.<BR>\n" );
document.write( "n=-9(2)+10_m=2\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply -9 by each term inside the parentheses.<BR>\n" );
document.write( "n=-18+10_m=2\r<BR>\n" );
document.write( "\n" );
document.write( "Add 10 to -18 to get -8.<BR>\n" );
document.write( "n=-8_m=2\r<BR>\n" );
document.write( "\n" );
document.write( "This is the solution to the system of equations.<BR>\n" );
document.write( "n=-8_m=2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8x-7y=-41_4x+43=y\r<BR>\n" );
document.write( "\n" );
document.write( "Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.<BR>\n" );
document.write( "8x-7y=-41_y=4x+43\r<BR>\n" );
document.write( "\n" );
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 4x+43.<BR>\n" );
document.write( "8x-7(4x+43)=-41_y=4x+43\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply -7 by each term inside the parentheses.<BR>\n" );
document.write( "8x-28x-301=-41_y=4x+43\r<BR>\n" );
document.write( "\n" );
document.write( "Since 8x and -28x are like terms, add -28x to 8x to get -20x.<BR>\n" );
document.write( "-20x-301=-41_y=4x+43\r<BR>\n" );
document.write( "\n" );
document.write( "Since -301 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 301 to both sides.<BR>\n" );
document.write( "-20x=301-41_y=4x+43\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract 41 from 301 to get 260.<BR>\n" );
document.write( "-20x=260_y=4x+43\r<BR>\n" );
document.write( "\n" );
document.write( "Divide each term in the equation by -20.<BR>\n" );
document.write( "-(20x)/(-20)=(260)/(-20)_y=4x+43\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "x=(260)/(-20)_y=4x+43\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "x=-13_y=4x+43\r<BR>\n" );
document.write( "\n" );
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 -13.<BR>\n" );
document.write( "x=-13_y=4(-13)+43\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply 4 by each term inside the parentheses.<BR>\n" );
document.write( "x=-13_y=-52+43\r<BR>\n" );
document.write( "\n" );
document.write( "Add 43 to -52 to get -9.<BR>\n" );
document.write( "x=-13_y=-9\r<BR>\n" );
document.write( "\n" );
document.write( "This is the solution to the system of equations.<BR>\n" );
document.write( "x=-13_y=-9\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5x+6y=-29_-8+y=57\r<BR>\n" );
document.write( "\n" );
document.write( "Since -8 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 8 to both sides.<BR>\n" );
document.write( "5x+6y=-29_y=8+57\r<BR>\n" );
document.write( "\n" );
document.write( "Add 57 to 8 to get 65.<BR>\n" );
document.write( "5x+6y=-29_y=65\r<BR>\n" );
document.write( "\n" );
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 65.<BR>\n" );
document.write( "5x+6(65)=-29_y=65\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply 6 by each term inside the parentheses.<BR>\n" );
document.write( "5x+390=-29_y=65\r<BR>\n" );
document.write( "\n" );
document.write( "Since 390 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 390 from both sides.<BR>\n" );
document.write( "5x=-390-29_y=65\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract 29 from -390 to get -419.<BR>\n" );
document.write( "5x=-419_y=65\r<BR>\n" );
document.write( "\n" );
document.write( "Divide each term in the equation by 5.<BR>\n" );
document.write( "(5x)/(5)=-(419)/(5)_y=65\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "x=-(419)/(5)_y=65\r<BR>\n" );
document.write( "\n" );
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 -(419)/(5).<BR>\n" );
document.write( "x=-(419)/(5)_y=65 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );