document.write( "Question 153314This question is from textbook Algebra structure and method book 1
\n" ); document.write( ": can you please help me solve and check the following using the substitution method. (((x+3y=23 3x-2y=3))) \n" ); document.write( "
Algebra.Com's Answer #112846 by mangopeeler07(462)\"\" \"About 
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\"x%2B3y=23\" and \"3x-2y=3\"\r
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\n" ); document.write( "\n" ); document.write( "Solve for x in the first equation:
\n" ); document.write( "\"x%2B3y=23\"
\n" ); document.write( "\"x=23-3y\"\r
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\n" ); document.write( "\n" ); document.write( "Plug that in for x in the second equation:
\n" ); document.write( "\"3%2823-3y%29-2y=3\"\r
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\n" ); document.write( "\n" ); document.write( "Distribute the 3:
\n" ); document.write( "\"69-9y-2y=3\"\r
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\n" ); document.write( "\n" ); document.write( "Combine like terms:
\n" ); document.write( "\"69-11y=3\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract 69 from both sides
\n" ); document.write( "\"-11y=-66\"\r
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\n" ); document.write( "\n" ); document.write( "Divide both sides by -11
\n" ); document.write( "\"y=6\"\r
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\n" ); document.write( "\n" ); document.write( "You know that x=23-3y, so plug in 6 for y:
\n" ); document.write( "\"x=23-3%286%29\"\r
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\n" ); document.write( "\n" ); document.write( "Simplify
\n" ); document.write( "\"x=23-18\"\r
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\n" ); document.write( "\n" ); document.write( "Combine like terms
\n" ); document.write( "\"x=5\"\r
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\n" ); document.write( "\n" ); document.write( "Answer:
\n" ); document.write( "x=5
\n" ); document.write( "y=6
\n" ); document.write( "(5,6)
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