document.write( "Question 1204913: For certain values of k and m, the system
\n" ); document.write( "3a + 2b = 2
\n" ); document.write( "6a + 2b = k - 3a - mb
\n" ); document.write( "has infinitely many solutions (a,b). What are k and m? \n" ); document.write( "

Algebra.Com's Answer #841451 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "[1] $\"3a%2B2b=2\"$

\n" ); document.write( " $\"6a%2B2b=k-3a-mb\"$
\n" ); document.write( "[2] $\"9a%2B%282%2Bm%29b=k\"$

\n" ); document.write( "Equation [1] is equivalent to

\n" ); document.write( "[3] $\"9a%2B6b=6\"$

\n" ); document.write( "There are an infinite number of solutions if [2] and [3] are equivalent. That is true only if the coefficients of b in both equations are the same and the constants in both are the same.

\n" ); document.write( "2+m = 6 --> m = 4
\n" ); document.write( "k = 6

\n" ); document.write( "ANSWERS: k = 6; m = 4

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