document.write( "Question 18120: Prove that (4,3)is or is not a solution to the system.
\n" ); document.write( "x+2y=10
\n" ); document.write( "3x+5y=3 \n" ); document.write( "

Algebra.Com's Answer #8734 by Earlsdon(6294) $\"\"$ $\"About$

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To prove this, you need only to substitute the x and y-values of the given point into both equations and see if they satisfy them both.\r
\n" ); document.write( "\n" ); document.write( "If both equations are satisfied by the coordinates of the given point ( 4, 3), then the given point is a solution to the system; if they aren't, then it isn't.\r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+2y+=+10\"$
\n" ); document.write( " $\"4+%2B+2%283%29+=+4+%2B+6\"$ = 10 This one is ok.\r
\n" ); document.write( "\n" ); document.write( " $\"3x+%2B+5y+=+3\"$
\n" ); document.write( " $\"3%284%29+%2B+5%283%29+=+12+%2B+15\"$ = 27 This is not = 3, so the given point (4, 3) does not satisfy the system of equations. \n" ); document.write( "

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