document.write( "Question 188473: How do you solve this linear system using substitution?\r
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document.write( "3/8x + 3/4y = 12
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document.write( "2/3x + 1/2y = 13 \n" );
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Algebra.Com's Answer #141311 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "---------------- \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 \n" ); document.write( "-------------- \n" ); document.write( "x + 2y = 32 Solve for x \n" ); document.write( "x = 32 - 2y \n" ); document.write( "-------------- \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 \n" ); document.write( "------------ \n" ); document.write( "x = 32 - 2y \n" ); document.write( "x = 32 - 2*8 \n" ); document.write( "x = 16 \n" ); document.write( "That's how. \n" ); document.write( " |