document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059785>Question 1059785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8x + 7y = –11<BR>\n" );
document.write( "4x – 3y = 14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674839 by </B><A HREF=/tutors/aboutme.mpl?userid=acw1213><B>acw1213(28)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=acw1213><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=acw1213><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=674839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve this system using elimination.<BR>\n" );
document.write( "First, look and see if you can easily multiply either equations to get a set of opposite or \"same\" coefficients.<BR>\n" );
document.write( "4x is a factor of 8x, so you can multiply the second equation by 2.<BR>\n" );
document.write( "2(4x - 3y = 14)<BR>\n" );
document.write( "Your system should now look like:<BR>\n" );
document.write( "8x + 7y = -11<BR>\n" );
document.write( "8x - 6y = 28<BR>\n" );
document.write( "The x's now have the same coefficients, so this means we need to subtract the equations. <BR>\n" );
document.write( "The x's WILL CANCEL<BR>\n" );
document.write( "7y - (-6y) = 7y + 6y = 13y<BR>\n" );
document.write( "-11 - 28 = -39\r<BR>\n" );
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document.write( "Now, we are left with...\r<BR>\n" );
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document.write( "13y = -39\r<BR>\n" );
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document.write( "Solve for \"y\". Divide by 13 on both sides.\r<BR>\n" );
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document.write( "y = -3\r<BR>\n" );
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document.write( "Plug in -3 for \"y\" in either equation to solve for \"x\"\r<BR>\n" );
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document.write( "4x - 3(-3) = 14<BR>\n" );
document.write( "Multiply -3 and -3 together.<BR>\n" );
document.write( "4x + 9 = 14<BR>\n" );
document.write( "Subtract by 9 on both sides<BR>\n" );
document.write( "4x = 5<BR>\n" );
document.write( "Divide by \"4\" on both sides.<BR>\n" );
document.write( "x = 5/4\r<BR>\n" );
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document.write( "Your solution in (x,y) form is now (5/4,-3).\r<BR>\n" );
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document.write( "ALWAYS plug in your solution into your systems (ORIGINAL EQUATIONS!) to check your answer.\r<BR>\n" );
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document.write( "Plug in 5/4 for x, and -3 for y.\r<BR>\n" );
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document.write( "Does 8(5/4) + 7(-3) equal -11?<BR>\n" );
document.write( "Let's check.<BR>\n" );
document.write( "8*5/4 = 40/4 = 10\r<BR>\n" );
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document.write( "10 + 7(-3) <BR>\n" );
document.write( "7*-3 = -21\r<BR>\n" );
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document.write( "10 + (-21)<BR>\n" );
document.write( "10 - 21 = -11 <BR>\n" );
document.write( "YES! This solution works for this equation, but we still need to try the other!\r<BR>\n" );
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document.write( "Does 4(5/4) - 3(-3) equal 14?<BR>\n" );
document.write( "Let's check!<BR>\n" );
document.write( "4*5/4 = 20/4 = 5\r<BR>\n" );
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document.write( "5 - 3(-3)<BR>\n" );
document.write( "-3*-3 = 9<BR>\n" );
document.write( "5 + 9 = 14<BR>\n" );
document.write( "YES! Our solution works for BOTH equations aka the SYSTEM. This is a CORRECT solution!<BR>\n" );
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