document.write( "Question 81155: Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
\n" ); document.write( "2x+3y=1
\n" ); document.write( "5x+3y=16 \n" ); document.write( "
Algebra.Com's Answer #58214 by ankor@dixie-net.com(22740)\"\" \"About 
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Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
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\n" ); document.write( "2x + 3y = 1
\n" ); document.write( "5x + 3y = 16
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\n" ); document.write( "Multiply the 1st equation by -1 and add the two equations:
\n" ); document.write( "-2x - 3y = -1
\n" ); document.write( " 5x + 3y = 16
\n" ); document.write( "------------- adding, eliminates y
\n" ); document.write( "+3x + 0y = +15
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\n" ); document.write( "x = 15/3
\n" ); document.write( "x = +5
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\n" ); document.write( "Find y by substituting 5 for x in 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; subtracted 10 from both sides
\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 in the 2nd equation by substituting both solutions:
\n" ); document.write( "5x + 3y = 16
\n" ); document.write( "5(5) + 3(-3) =
\n" ); document.write( " 25 - 9 = +16
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\n" ); document.write( "It's unique solution is: x=5, y=-3
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