document.write( "Question 57035This question is from textbook Algebra 2 with trigonometry
\n" ); document.write( ": Find two numbers such that their sum is 12 and two times the first plus three times the second is 26 \n" ); document.write( "
Algebra.Com's Answer #38793 by susie(3)\"\" \"About 
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use x to represent the first #
\n" ); document.write( "use y to represent the second #
\n" ); document.write( "then set up equations
\n" ); document.write( "x + y = 12 (sum means to add)(is means equal to)
\n" ); document.write( "2x + 3y = 26 (times means to multiply)
\n" ); document.write( "then you can multiply the first equation by -2 to isolate y
\n" ); document.write( "-2 (x + y = 12) = -2x - 2y = -24 (then add the second equation)
\n" ); document.write( " + 2x + 3y = 26 (the x's are cancelled out)
\n" ); document.write( " -----------------
\n" ); document.write( " y = 2 (plug it in to the first equation to find x)
\n" ); document.write( " x + 2 = 12
\n" ); document.write( " - 2 -2
\n" ); document.write( " ------------
\n" ); document.write( " x = 10 (you can plug in your answers to the original problem to double check yourself)
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