document.write( "Question 951875: Hi!! I am learning the substitution method with systems of equations and the elimination method!! how do I start solving this problem? 'Four times the larger of two numbers is equal to seven times the smaller. The sum of the numbers is 22. Find the numbers.' \r
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Algebra.Com's Answer #581323 by MathTherapy(10557)\"\" \"About 
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\n" ); document.write( "Hi!! I am learning the substitution method with systems of equations and the elimination method!! how do I start solving this problem? 'Four times the larger of two numbers is equal to seven times the smaller. The sum of the numbers is 22. Find the numbers.' \r
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Method 1: SUBSTITUTION
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document.write( "Let larger number be L, and smaller, S. Then, we get: 
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document.write( "4L  = 7S ------- eq (i)
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document.write( "L + S = 22______L = 22 - S ------ eq (ii)
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document.write( "4(22 - S) = 7S ------- Substituting 22 - S for L in eq (i)
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document.write( "Continue to solve for S, or smaller number. Then substitute the value for S into any of the
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document.write( "2 original equation to determine the value of L, the larger number.\r
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document.write( "Method 2: ELIMINATION
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document.write( "Let larger number be L, and smaller, S. Then, we get: 
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document.write( "4L  = 7S______4L - 7S = 0 ------- eq (i)
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document.write( "   L +  S =   22 ------ eq (ii)
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document.write( "- 4L - 4S = - 88 ------ Multiplying eq (ii) by - 4 to ELIMINATE L ------- eq (iii)
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document.write( "- 11S = - 88 ------ Adding eqs (iii) & (i)
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document.write( "Continue to solve for S, or smaller number. Then substitute the value for S into any of the
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document.write( "2 original equation to determine the value of L, the larger number. \n" );
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