document.write( "Question 1097959: Solve the system using substitution.\r
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document.write( "3x + 4y − z = 14
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document.write( "x − 5y + 2z = 26
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document.write( "5x + y − 2z = 40\r
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document.write( "The solution to the system of three linear equations is the ordered triple____.
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Algebra.Com's Answer #712357 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Solve the system using substitution.\r \n" ); document.write( "\n" ); document.write( "3x + 4y - z = 14 times 2 --> 6x + 8y - 2z = 28 \n" ); document.write( "x - 5y + 2z = 26 \n" ); document.write( "5x + y - 2z = 40 \n" ); document.write( "------- \n" ); document.write( "6x + 8y - 2z = 28 --> 2z = 6x + 8y - 28 \n" ); document.write( "x - 5y + 2z = 26 \n" ); document.write( "5x + y - 2z = 40 \n" ); document.write( "========== \n" ); document.write( "Sub for 2z in Eqns 2 & 3 \n" ); document.write( "x - 5y + 2z = 26 \n" ); document.write( "x - 5y + 6x + 8y - 28 = 26 \n" ); document.write( "7x + 3y = 54 --- Eqn A \n" ); document.write( "--- \n" ); document.write( "5x + y - 2z = 40 \n" ); document.write( "5x + y - (6x + 8y - 28) = 40 \n" ); document.write( "-x - 7y = 12 --- Eqn B \n" ); document.write( "-7x - 49y = 84 --- Eqn B times 7 \n" ); document.write( "7x - y = 54 --- Eqn A \n" ); document.write( "-------------------------------- Add \n" ); document.write( "-50y = 138 \n" ); document.write( "y = -69/25 \n" ); document.write( "============ \n" ); document.write( "Sub for y in Eqn A or B, find x \n" ); document.write( "Sub for x & y in any equation, find z \n" ); document.write( "======================== \n" ); document.write( "Don't solve for x, y or z and deal with fractions. \n" ); document.write( "------ \n" ); document.write( "check the work carefully. \n" ); document.write( "It's easy to make a mistake, and it's late and I'm tired.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |