document.write( "Question 982071: 7k+6/3k+4 = 3k+4/2k+1 solve the equation for the k \n" ); document.write( "

Algebra.Com's Answer #602948 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "7k+6/3k+4 = 3k+4/2k+1
\n" ); document.write( "Using a common denominator
\n" ); document.write( "(3k + 4)(2k + 1)
\n" ); document.write( "Cross multiply
\n" ); document.write( "(7k + 6)(2k + 1)/(3k + 4)(2k + 1)= (3k + 40(3k + 40/(3k + 4)(2k + 1)
\n" ); document.write( "Ignoring the denominator now you have cross multiplied.
\n" ); document.write( "Multiply out numerator brackets.
\n" ); document.write( "14k^2 + 19k + 6 = 9k^2 + 24k + 16
\n" ); document.write( "Collect like terms
\n" ); document.write( "14k^2 - 9k^2 + 19k - 24k + 6 - 16 = 0
\n" ); document.write( "5k^2 - 5k - 10 = 0
\n" ); document.write( "Divide throughout by 5
\n" ); document.write( "(k^2 - k - 2)= 0
\n" ); document.write( "Factorise
\n" ); document.write( "(k + 1)(k - 2) = 0
\n" ); document.write( "k + 1 = 0
\n" ); document.write( "k = -1
\n" ); document.write( "k - 2 = 0
\n" ); document.write( "k = 2
\n" ); document.write( "So, k = -1 or 2
\n" ); document.write( "Hope this helps:-) \n" ); document.write( "

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