document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828328>Question 828328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A system of equations is shown below.\r<BR>\n" );
document.write( "\n" );
document.write( "5x-5y=10<BR>\n" );
document.write( "3x-2y=2\r<BR>\n" );
document.write( "\n" );
document.write( "Part A: Create an equivalent system of equations by replacing one equation with the sum of that equation and multiple of the other. Show the steps to do this.\r<BR>\n" );
document.write( "\n" );
document.write( "Part B: Show that the equivalent system has the same solution as the original system of equations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499260 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "original system:<BR>\n" );
document.write( "5x-5y=10<BR>\n" );
document.write( "3x-2y=2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = -2<BR>\n" );
document.write( "y = -4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "part A:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "5x-5y=10<BR>\n" );
document.write( "(3x-2y=2) * 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "5x-5y=10<BR>\n" );
document.write( "6x-4y=4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "add:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "11x-9y=14<BR>\n" );
document.write( "---<BR>\n" );
document.write( "new system:<BR>\n" );
document.write( "11x-9y=14<BR>\n" );
document.write( "3x-2y=2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "part B:<BR>\n" );
document.write( "solution of the new system:<BR>\n" );
document.write( "x = -2<BR>\n" );
document.write( "y = -4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "note: the solution of the original system, and the solution of the new system are the same.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );