document.write( "Question 103425: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.\r
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\n" ); document.write( "\n" ); document.write( "2x+3y=1\r
\n" ); document.write( "\n" ); document.write( "5x+3y=16 \n" ); document.write( "
Algebra.Com's Answer #75338 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
2x + 3y = 1
\n" ); document.write( "5x + 3y = 16
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\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( "-----------------add
\n" ); document.write( " 3x + 0y = 15
\n" ); document.write( " 3x = 15
\n" ); document.write( " x = 15/3
\n" ); document.write( " x = 5
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\n" ); document.write( "Find y using the 1st equation:
\n" ); document.write( "2x + 3y = 1
\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
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\n" ); document.write( "Check solutions using the 2nd equation
\n" ); document.write( "5x + 3y = 16
\n" ); document.write( "5(5) + 3(-3) = 16
\n" ); document.write( "25 - 9 = 16; confirms our solutions
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