document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844906>Question 844906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each ordered pair, determine whether it is a solution to the system of equations:?  \r<BR>\n" );
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document.write( "For each ordered pair, determine whether it is a solution to the system of equations:<BR>\n" );
document.write( "y=-2x-5 <BR>\n" );
document.write( "6x+3y=-15 \r<BR>\n" );
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document.write( "(5,0),(2,7),(4,-13),(-3,1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508974 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=508974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the given system and pick the point that matches the solution.\r<BR>\n" );
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document.write( "Substitute the formula for y into the second standard form equation and find the x value, and use the formula for y, the first equation, using that found value of x.\r<BR>\n" );
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document.write( "6x+3y=-15 ------Given<BR>\n" );
document.write( "6x+3(-2x-5)=-15<BR>\n" );
document.write( "6x-6x-15=-15<BR>\n" );
document.write( "0-15=-15 obviously true; so then what must be x?\r<BR>\n" );
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document.write( "Try solving the second equation for y in terms of x.<BR>\n" );
document.write( "3y=-6x-15<BR>\n" );
document.write( "y=-6x/3-15/3<BR>\n" );
document.write( "y=-2x-5, which is the same as the first equation, that same formula for y.<BR>\n" );
document.write( "The two equations are equivalent!\r<BR>\n" );
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document.write( "TEST EACH x COORDINATE and find if the y value matches the coordinate for y found in the point.<BR>\n" );
document.write( "x=5, y=-2(5)-5=-15.  No match.<BR>\n" );
document.write( "x=2, y=-2*2-5=-9.  No match.<BR>\n" );
document.write( "x=4, y=-2*4-5=-13. MATCH.<BR>\n" );
document.write( "x=-3, y=-2(-3)-5=1.  MATCH.<BR>\n" );
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document.write( "CONCLUSION:  The points on the two equivalent lines are (4,13) and (-3,1). </SPAN>\n" );
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