document.write( "Question 1042: three times the larger of two numbers is equal to four times the smaller.the sum of the numbers is 21. please hhelp me find the numbers. \n" ); document.write( "
Algebra.Com's Answer #315 by usyim88hk(158)\"\" \"About 
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Let the small number be x and the bigger one be y
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\n" ); document.write( "x+y = 21
\n" ); document.write( "4x = 3y
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\n" ); document.write( "For this two equations, we can use substitution
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\n" ); document.write( "y = 21 - x (change it into y-form)
\n" ); document.write( "3y = 4x (another y-form)
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\n" ); document.write( "now we have to take y away so we have to have 3y on one equation and -3y on another equation to get 0y which is nothing (hard isn't it?)
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\n" ); document.write( "-3y = -63 + 3x
\n" ); document.write( "3y = 4x
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\n" ); document.write( "Now take away the ys by adding the equations
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\n" ); document.write( "0 = 7x - 63
\n" ); document.write( "63 = 7x
\n" ); document.write( "x = 9
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\n" ); document.write( "So now we know x and we can solve for y
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\n" ); document.write( "3y = 4x
\n" ); document.write( "3y = 4(9)
\n" ); document.write( "3y = 36
\n" ); document.write( "y = 12
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\n" ); document.write( "So the answers are 9 and 12
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