document.write( "Question 1022546: Double the larger number plus three times the smaller number makes 19 the difference between the numbers is 2 \n" ); document.write( "
Algebra.Com's Answer #638234 by addingup(3677)\"\" \"About 
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Double the larger number: 2x
\n" ); document.write( "plus three times the smaller number makes 19
\n" ); document.write( "2x+3y = 19 (1)
\n" ); document.write( "the difference between the numbers is 2
\n" ); document.write( "x-y = 2
\n" ); document.write( "Add y on both sides:
\n" ); document.write( "x = 2+y
\n" ); document.write( "Let's plug this value for x into (1) above:
\n" ); document.write( "2(2+y)+3y = 19
\n" ); document.write( "4+2y+3y = 19
\n" ); document.write( "Add y on left and subtract 4 on both sides
\n" ); document.write( "5y = 15
\n" ); document.write( "divide both sides by 5
\n" ); document.write( "y = 3
\n" ); document.write( "Now that we know y let's find x The problem says that x-y = 2:
\n" ); document.write( "x-3 = 2
\n" ); document.write( "Add 3 on both sides:
\n" ); document.write( "x = 5
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\n" ); document.write( "Check - The problem says:
\n" ); document.write( "2x+3y = 19
\n" ); document.write( "2(5)+3(3)= 19 Do the math on left to see that we have the correct answer.
\n" ); document.write( "J\r
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