Hey there!
3/4k + 3/8k = 1/2
COMBINE the LIKE TERMS
(3/4K + 3/8k) = 9/8k
NEW EQUATION: 9/8k = 1/2
MULTIPLY 8/9 to BOTH SIDES
8/9 * 9/8k = 8/9 * 1/2
CANCEL out: 8/9 * 9/8 because it gives you 1
KEEP: 8/9 * 1/2 because it helps solve for your result (also known as giving you the result of the k-value)
NEW EQUATION: k = 8/9 * 1/2
SIMPLIFY IT AND YOU WILL HAVE YOUR RESULT
k = 4/9
Therefore, your answer is: k = 4/9
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
