document.write( "Question 221134: solve by subsititution method 9m+n=77 m-3n=21 \n" ); document.write( "
Algebra.Com's Answer #165939 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
Solve by substitution method \r
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\n" ); document.write( "\n" ); document.write( "9m+n=77
\n" ); document.write( "m-3n=21\r
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
\n" ); document.write( " \"+system%28+%0D%0A++++9%5Cm+%2B+1%5Cn+=+77%2C%0D%0A++++1%5Cm+%2B+-3%5Cn+=+21+%29%0D%0A++\"We'll use substitution. After moving 1*n to the right, we get:
\n" ); document.write( " \"9%2Am+=+77+-+1%2An\", or \"m+=+77%2F9+-+1%2An%2F9\". Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " \"1%2A%2877%2F9+-+1%2An%2F9%29+%2B+-3%5Cn+=+21\" and simplify: So, we know that n=-4. Since \"m+=+77%2F9+-+1%2An%2F9\", m=9.
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\n" ); document.write( " Answer: \"system%28+m=9%2C+n=-4+%29\".
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\n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r
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\n" ); document.write( "\n" ); document.write( "Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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