document.write( "Question 1069276: If the system 3x+5=13 and ax+by=39 has more than one solution, determine the sum of a and b \n" ); document.write( "

Algebra.Com's Answer #684470 by Fombitz(32388) $\"\"$ $\"About$

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Multiple solutions means the equations are multiples of each other.
\n" ); document.write( " $\"u%283x%2B5y%29=13u\"$
\n" ); document.write( " $\"3ux%2B5uy=13u\"$
\n" ); document.write( "Compare to the second equation,
\n" ); document.write( " $\"13u=39\"$
\n" ); document.write( " $\"u=3\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"a=3u=3%283%29=9\"$
\n" ); document.write( " $\"b=5u=5%283%29=15\"$
\n" ); document.write( " \n" ); document.write( "

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