document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824675>Question 824675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by graphing \r<BR>\n" );
document.write( "\n" );
document.write( "x+y=10<BR>\n" );
document.write( "-4x+y=o \r<BR>\n" );
document.write( "\n" );
document.write( "Please help!~  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496671 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=496671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x+y=10<BR>\n" );
document.write( "-4x+y=0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above standard form linear equations in to this solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x= 2<BR>\n" );
document.write( "y= 8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "graph:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C+4%2C+-2%2C+11%2C+-x%2B10%2C+4x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-2%2C+4%2C+-2%2C+11%2C+-x%2B10%2C+4x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "NOTE TO STUDENT:<BR>\n" );
document.write( "the problem statement asks that we solve the system by graphing. the above computer generated graph answers that requirement.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "if you want to solve the system by plotting the lines with pencil and paper, you need two points for each line:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "line 1:<BR>\n" );
document.write( "x + y = 10<BR>\n" );
document.write( "put the equation into slope-intercept form: y = mx + b<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "m = slope<BR>\n" );
document.write( "b = y-intercept<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = -x + 10<BR>\n" );
document.write( "m = slope = -1<BR>\n" );
document.write( "b = y-intercept = (0, 10)<BR>\n" );
document.write( "so we have one point: (0, 10)<BR>\n" );
document.write( "get another point: set x=1 and solve: y(1) = -x + 10<BR>\n" );
document.write( "y(1) = -1 + 10 = 9<BR>\n" );
document.write( "so we have another point: (1, 9)<BR>\n" );
document.write( "plot the two points on graph paper, then draw a line through both points, extending beyond the points<BR>\n" );
document.write( "---<BR>\n" );
document.write( "line 2:<BR>\n" );
document.write( "-4x + y = 0<BR>\n" );
document.write( "put the equation into slope-intercept form: y = mx + b<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "m = slope<BR>\n" );
document.write( "b = y-intercept<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = 4x + 0<BR>\n" );
document.write( "m = slope = 4<BR>\n" );
document.write( "b = y-intercept = (0, 0)<BR>\n" );
document.write( "so we have one point: (0, 0)<BR>\n" );
document.write( "get another point: set x=1 and solve: y(1) = 4x + 0<BR>\n" );
document.write( "y(1) = 4<BR>\n" );
document.write( "so we have another point: (1, 4)<BR>\n" );
document.write( "plot the two points on graph paper, then draw a line through both points, extending beyond the points<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "find the point of intersection of the two lines. it should be (2, 8)<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" );