document.write( "Question 91418: solve each of the following sysytems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.\r
\n" ); document.write( "\n" ); document.write( "2x + 3y =1 and 5x + 3y =16 \n" ); document.write( "
Algebra.Com's Answer #66516 by ankor@dixie-net.com(22740)\"\" \"About 
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2x + 3y = 1
\n" ); document.write( "5x + 3y = 16
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by -1 and add:
\n" ); document.write( "-2x - 3y = -1
\n" ); document.write( "+5x + 3y = 16
\n" ); document.write( "-------------- adding eliminates y, solve for x
\n" ); document.write( "3x = 15
\n" ); document.write( "x = 15/3
\n" ); document.write( "x = 5
\n" ); document.write( ":
\n" ); document.write( "Find y using 2x + 3y = 1, substitute 5 for x:
\n" ); document.write( "2(5) + 3y = 1
\n" ); document.write( "10 + 3y = 1
\n" ); document.write( "3y = 1 - 10
\n" ); document.write( "3y = -9
\n" ); document.write( "y = -9/3
\n" ); document.write( "y = -3
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in 5x + 3y = 16, substitute for x and y:
\n" ); document.write( "5(5) + 3(-3) =
\n" ); document.write( "25 - 9 = 16 \n" ); document.write( "
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