document.write( "Question 62295This question is from textbook Algebra 1: Concepts and Skills
\n" ); document.write( ": Can you explain what it means to solve a linear system using the graph-and-check method? \n" ); document.write( "
Algebra.Com's Answer #43516 by ankor@dixie-net.com(22740)\"\" \"About 
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Can you explain what it means to solve a linear system using the graph-and-check method?
\n" ); document.write( ":
\n" ); document.write( "What I think it means is you plot the two equations, note the x,y coordinates
\n" ); document.write( "where they intersect. Substitute these values in the original equations to see
\n" ); document.write( "if they are correct.
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\n" ); document.write( "A simple example:
\n" ); document.write( "x + y = 2; and x - y = 4
\n" ); document.write( ":
\n" ); document.write( "Arrange equations to the general form \"y=\"
\n" ); document.write( "x + y = 2:
\n" ); document.write( "y = 2 - x;
\n" ); document.write( "and
\n" ); document.write( "x - y = 4
\n" ); document.write( "-y = 4 - x
\n" ); document.write( "Get rid of the neg y, mult eq by -1:
\n" ); document.write( "y = x - 4
\n" ); document.write( ":
\n" ); document.write( "Plot these two equations, they should look like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-4%2C+4%2C+-4%2C+4%2C+2-x%2C+x-4%29+\"
\n" ); document.write( "Note that these appear to intersect at x =3,y =-1
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\n" ); document.write( "Substitute these value in the original equations:
\n" ); document.write( "x + y = 2
\n" ); document.write( "3 - 1 = 2, correct
\n" ); document.write( "and
\n" ); document.write( "x - y = 4
\n" ); document.write( "3 - (-1) = 4,
\n" ); document.write( "3 + 1 = 4, remember a minus a minus is a plus
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