document.write( "Question 942253: whats the difference of double a number and triple another number is 14 the sum of the first number and triple the second number is -11 find the two numbers \n" ); document.write( "
Algebra.Com's Answer #574488 by ankor@dixie-net.com(22740)\"\" \"About 
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let the two number be a & b
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\n" ); document.write( "write an equation for each statement
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\n" ); document.write( "the difference of double a number and triple another number is 14
\n" ); document.write( "2a - 3b = 14
\n" ); document.write( " the sum of the first number and triple the second number is -11
\n" ); document.write( "a + 3b = -11
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\n" ); document.write( "We can use elimination here
\n" ); document.write( "2a - 3b = 14
\n" ); document.write( " a + 3b = -11
\n" ); document.write( "---------------Addition eliminates b, find a
\n" ); document.write( "3a = 3
\n" ); document.write( "a = 1
\n" ); document.write( "Find b using the 1st equation
\n" ); document.write( "2(1) - 3b = 14
\n" ); document.write( "-3b = 14 - 2
\n" ); document.write( "-3b = 12
\n" ); document.write( "b = 12/-3
\n" ); document.write( "b = -4
\n" ); document.write( ":
\n" ); document.write( " find the two numbers; 1 and -4
\n" ); document.write( ":
\n" ); document.write( "Check them in the 2nd equation
\n" ); document.write( "1 + 3(-4) = -11
\n" ); document.write( "1 - 12 = -11
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