document.write( "Question 188473: How do you solve this linear system using substitution?\r
\n" ); document.write( "\n" ); document.write( "3/8x + 3/4y = 12
\n" ); document.write( "2/3x + 1/2y = 13
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Algebra.Com's Answer #141311 by Alan3354(69443)\"\" \"About 
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How do you solve this linear system using substitution?
\n" ); document.write( "3/8x + 3/4y = 12
\n" ); document.write( "2/3x + 1/2y = 13
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\n" ); document.write( "Step 1, get rid of fractions
\n" ); document.write( "3x + 6y = 96 eqn 1 times 8
\n" ); document.write( "x + 2y = 32 then divided by 3
\n" ); document.write( "4x + 3y = 78 eqn 2 times 6
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\n" ); document.write( "x + 2y = 32 Solve for x
\n" ); document.write( "x = 32 - 2y
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\n" ); document.write( "Sub for x into the other eqn
\n" ); document.write( "4(32-2y) + 3y = 78
\n" ); document.write( "128 - 8y + 3y = 78
\n" ); document.write( "-5y = -40
\n" ); document.write( "y = 8
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\n" ); document.write( "x = 32 - 2y
\n" ); document.write( "x = 32 - 2*8
\n" ); document.write( "x = 16
\n" ); document.write( "That's how.
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