document.write( "Question 448917: What I need is a thorough laymens term on how to solve this math.\r
\n" ); document.write( "\n" ); document.write( "Determine whether the point (7,2) is a solution of the system
\n" ); document.write( "-3x+4y=-13\r
\n" ); document.write( "\n" ); document.write( "-2x+8y=2
\n" ); document.write( "by substituting the point into each equation?\r
\n" ); document.write( "\n" ); document.write( "Thank you so much
\n" ); document.write( "

Algebra.Com's Answer #308821 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
What I need is a thorough laymens term on how to solve this math.
\n" ); document.write( "Determine whether the point (7,2) is a solution of the system
\n" ); document.write( "-3x+4y=-13
\n" ); document.write( "-2x+8y=2
\n" ); document.write( "by substituting the point into each equation?
\n" ); document.write( "---------------
\n" ); document.write( "Yes. If the point is a solution for the system it
\n" ); document.write( "must lie at the intersection of the two lines.
\n" ); document.write( "(7,2) must make both equations \"true\".
\n" ); document.write( "----
\n" ); document.write( "See if it does.
\n" ); document.write( "Substituting in each equation you would get:
\n" ); document.write( "-3*7+4*2 = -13
\n" ); document.write( "-21+8 = -13
\n" ); document.write( "-13 = -13
\n" ); document.write( "OK
\n" ); document.write( "------------------------
\n" ); document.write( "-2*7+8*2 = 2
\n" ); document.write( "-14 + 16 = 2
\n" ); document.write( "2 = 2
\n" ); document.write( "OK
\n" ); document.write( "------------------------
\n" ); document.write( "It makes both equations \"true\" so it is the
\n" ); document.write( "solution for the system.
\n" ); document.write( "==================================
\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );