document.write( "Question 1131307: Solve this set of linear equations using the substitution method. Be sure to show all your work.\r
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\n" ); document.write( "\n" ); document.write( "3x – 7y = 6\r
\n" ); document.write( "\n" ); document.write( "2x – 3y = 1
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Algebra.Com's Answer #747961 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Solve this set of linear equations using the substitution method. Be sure to show all your work.\r
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\n" ); document.write( "\n" ); document.write( "3x – 7y = 6\r
\n" ); document.write( "\n" ); document.write( "2x – 3y = 1
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3x – 7y = 6 ------- eq (i)
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document.write( "2x – 3y  = 1 ------ eq (ii)
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document.write( "In order to avoid fractions, do the following:
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document.write( "1)  Multiply the 1st equation by 2, and solve for 6x to get: 6x - 14y = 12_____6x = 12 + 14y ------ eq (iii)
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document.write( "2)  Multiply the 2nd equation by 3 to get: 6x - 9y = 3 ------ eq (iv)
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document.write( "3)  Substitute 12 + 14y for 6x in eq (iv) to get: 12 + 14y - 9y = 3
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document.write( "5y = - 9
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document.write( "3x - 7(- 1.8) = 6 ------ Substituting - 1.8 for y in eq (i)
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document.write( "3x + 12.6 = 6
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document.write( "3x = - 6.6
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