Explanation:
43.
¼ k = 3(-¼ k + 3)
I assume this is really a "-" sign before ¼ in the brackets.
¼ k = 3(-¼ k + 3) | do the multiplication with the bracket
¼ k = -¾ k + 9 | add ¾ k to both sides of the equation
¼ k + ¾ k = -¾ k + 9 + ¾ k
4/4 k = k = 9
if there is no "-" in the brackets :
¼ k = 3(¼ k + 3) | do the multiplication with the bracket
¼ k = ¾ k + 9 | subtract ¼ from both sides
¼ k - ¼ k = ¾ k + 9 - ¼ k
0 = 2/4 k + 9 = ½ k + 9 | subtract 9 from both sides
0 - 9 = ½ k + 9 - 9
-9 = ½ k | multiply both sides by 2
-9×2 = ½ k × 2
-18 = k
please pick the answer that corresponds to your true problem.
44.
13(y - 3) = 13y - 39
I assume this is a "-" sign inside the brackets.
13(y - 3) = 13y - 39 | do the multiplication with the bracket
13y - 13×3 = 13y - 39
13y - 39 = 13y - 39
this is true for any and every value of y you could think of.
so, there are infinitely many solutions.
but if it is a "+" sign in the brackets :
13(y + 3) = 13y - 39 | do the multiplication with the bracket
13y + 13×3 = 13y - 39
13y + 39 = 13y - 39 | subtract 13y from both sides
13y + 39 - 13y = 13y - 39 - 13y
39 = -39
thus is wrong for any and every value of y you could think of.
so, there is no solution at all for this equation.
please pick the answer that corresponds to your true problem.