document.write( "Question 259021: find 2 numbers thats sum is 28 and a product of 147 \n" ); document.write( "
Algebra.Com's Answer #190725 by drk(1908)\"\" \"About 
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Let X and Y be the 2 numbers.
\n" ); document.write( "(i) X + Y = 28
\n" ); document.write( "(ii) XY = 147
\n" ); document.write( "--
\n" ); document.write( "Step 1 - solve (i) for X and we get
\n" ); document.write( "(iii) X = 28 - Y
\n" ); document.write( "step 2 - substitute (iii) into (ii) to get
\n" ); document.write( "(iv) (28-Y)(Y) = 147
\n" ); document.write( "step 3 - distribute to get
\n" ); document.write( "(v) -y^2 + 28y = 147
\n" ); document.write( "step 4 - set = 0 and factor as
\n" ); document.write( "(vi) -y^2 + 28y -147 = 0
\n" ); document.write( "factoring, we get
\n" ); document.write( "(vii) -(y-21)(y-7) = 0
\n" ); document.write( "solving each for y, we get
\n" ); document.write( " y = 21, y = 7
\n" ); document.write( "So, we get two answers:
\n" ); document.write( "x = 7, y = 21
\n" ); document.write( "x = 21, y = 7. \n" ); document.write( "
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