document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=663462>Question 663462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help ,my son wants to quit school over this and I have no idea haw to help him.I don't have money to pay for private help .<BR>\n" );
document.write( "Ne 1 <BR>\n" );
document.write( "Solve the following system of equations for X and Y .Elimination , keep as fractions .<BR>\n" );
document.write( "  1  +  3  =  3 <BR>\n" );
document.write( "---     ---  ---- <BR>\n" );
document.write( " 2X  +  2y  =  8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  9 - 6  = 15<BR>\n" );
document.write( " --  ---   ----<BR>\n" );
document.write( "  x -  y =  12\r<BR>\n" );
document.write( "\n" );
document.write( "Nr 2 solve the following system of equations for x,y,z \r<BR>\n" );
document.write( "\n" );
document.write( " 2x - 3y + z = 10<BR>\n" );
document.write( "3x + 6 z = 24<BR>\n" );
document.write( "- 5 y - 20z = -55      substitution\r<BR>\n" );
document.write( "\n" );
document.write( "nr 3 <BR>\n" );
document.write( " A triangle is  formed by the  intersection  of the lines 2x + 3y = 14 <BR>\n" );
document.write( "  4X - 5y= - 16  and the x- axis.Find the area of the triangle<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412795 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=412795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No. 1<BR>\n" );
document.write( "Starting with <BR>\n" );
document.write( "1/2x + 3/2y = 3/8<BR>\n" );
document.write( "9/x - 6/y = 15/12<BR>\n" );
document.write( "Multiply the first equation by 6 and the second equation by 3/2<BR>\n" );
document.write( "6((1/2x) + (3/2y) = (3/8))<BR>\n" );
document.write( "3/2((9/x) - (6/y) = (15/12))<BR>\n" );
document.write( "to yield<BR>\n" );
document.write( "6/2x + 18/2y = 18/8<BR>\n" );
document.write( "27/2x - 18/2y = 45/24<BR>\n" );
document.write( "Add the equations together<BR>\n" );
document.write( "6/2x + 27/2x + 18/2y + -18/2y = 18/8 + 45/24<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "33/2x = 18/8 + 45/24<BR>\n" );
document.write( "Multiply both sides by 2x<BR>\n" );
document.write( "33 = 2x(18/8 + 45/24)<BR>\n" );
document.write( "33 = 36x/8 + 90x/24<BR>\n" );
document.write( "Give the left side common denominators<BR>\n" );
document.write( "33 = 36x/8(3/3) + 90x/24<BR>\n" );
document.write( "33 = 108x/24 + 90x/24<BR>\n" );
document.write( "33 = 108x+90x/24<BR>\n" );
document.write( "33 = 198x/24<BR>\n" );
document.write( "Multiply both sides by 24<BR>\n" );
document.write( "792 = 198x<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Starting with <BR>\n" );
document.write( "1/2x + 3/2y = 3/8<BR>\n" );
document.write( "9/x - 6/y = 15/12<BR>\n" );
document.write( "Multiply the first equation by -9 and the second equation by 1/2<BR>\n" );
document.write( "-9(1/2x + 3/2y = 3/8)<BR>\n" );
document.write( "1/2(9/x - 6/y = 15/12)<BR>\n" );
document.write( "to yield<BR>\n" );
document.write( "-9/2x - 27/2y = -27/8<BR>\n" );
document.write( "9/2x - 6/2y = 15/24<BR>\n" );
document.write( "Add the equations together<BR>\n" );
document.write( "-9/2x + 9/2x + -27/2y + -6/2y = -27/8 + 15/24<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "-27/2y - 6/2y = -27/8 + 15/24<BR>\n" );
document.write( "-33/2y = -27/8 + 15/24<BR>\n" );
document.write( "Give common denominators on the right side<BR>\n" );
document.write( "-33/2y = -27/8(3/3) + 15/24<BR>\n" );
document.write( "-33/2y = -81/24 + 15/24<BR>\n" );
document.write( "-33/2y = -66/24<BR>\n" );
document.write( "Multiply both sides by 2y<BR>\n" );
document.write( "-33 = 2y(-66/24)<BR>\n" );
document.write( "-33 = -132y/24<BR>\n" );
document.write( "Multiply both sides by 24<BR>\n" );
document.write( "-792 = -132y<BR>\n" );
document.write( "Divide both sides by -132<BR>\n" );
document.write( "y = 6<BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = 4, y = 6<BR>\n" );
document.write( "...<BR>\n" );
document.write( "No. 2<BR>\n" );
document.write( "Starting with <BR>\n" );
document.write( "2x - 3y + z = 10<BR>\n" );
document.write( "3x + 6z = 24<BR>\n" );
document.write( "-5y - 20z = -55 <BR>\n" );
document.write( "Rearrange the second equation<BR>\n" );
document.write( "3x+6z=24 to x = (24-6z)/3<BR>\n" );
document.write( "Rearrange the third equation<BR>\n" );
document.write( "-5y-20z=-55 to y = (55-20z)/5<BR>\n" );
document.write( "Plug x and y into the first equation to solve for z<BR>\n" );
document.write( "2((24-6z)/3) - 3((55-20z)/5) + z = 10<BR>\n" );
document.write( "2(24/3 - 6z/3) - 3(55/5 - 20z/5) + z = 10<BR>\n" );
document.write( "2(8 - 2z) - 3(11 - 4z) + z = 10<BR>\n" );
document.write( "16 - 4z - 33 + 12z + z = 10<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "9z - 17 = 10<BR>\n" );
document.write( "9z = 27<BR>\n" );
document.write( "z = 3<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Plug z into -5y - 20z = -55<BR>\n" );
document.write( "-5y - 20(3) = -55<BR>\n" );
document.write( "-5y - 60 = -55<BR>\n" );
document.write( "-5y = 5<BR>\n" );
document.write( "y = -1<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Plug z into 3x + 6z = 24<BR>\n" );
document.write( "3x + 6(3) = 24<BR>\n" );
document.write( "3x + 18 = 24<BR>\n" );
document.write( "3x = 6<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Confirm using 2x - 3y + z = 10<BR>\n" );
document.write( "2(2) - 3(-1) + 3 = 4 + 3 + 3 = 10<BR>\n" );
document.write( "...<BR>\n" );
document.write( "No. 3<BR>\n" );
document.write( "Repost No. 3 separately<BR>\n" );
document.write( "............................<BR>\n" );
document.write( "Delighted to help.<BR>\n" );
document.write( "-Reading Boosters<BR>\n" );
document.write( "Wanting for others what we want for ourselves. </SPAN>\n" );
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