what number is the solution to the equation? -9(k-17)= -54
a)-26
b)23
c)28
d)37
See the first post linked below.
23
To find the solution to the equation -9(k-17) = -54, we can follow these steps:
Step 1: Distribute the -9 to the terms inside the parentheses:
-9k + 153 = -54
Step 2: Subtract 153 from both sides of the equation to isolate the variable:
-9k = -54 - 153
-9k = -207
Step 3: Divide both sides of the equation by -9 to solve for k:
k = (-207) / (-9)
k = 23
Therefore, the solution to the equation is k = 23.
Answer: b) 23
To find the solution to the equation -9(k-17) = -54, we can follow these steps:
Step 1: Distribute -9 to the terms inside the parentheses.
-9k + (9 * 17) = -54
Step 2: Simplify by multiplying.
-9k + 153 = -54
Step 3: Move the constant term to the other side of the equation.
-9k = -54 - 153
-9k = -207
Step 4: Divide both sides of the equation by -9 to solve for k.
k = -207 / -9
Step 5: Simplify the fraction by dividing.
k = 23
So, the solution to the equation -9(k-17) = -54 is k = 23.
Therefore, the answer to the question is b) 23.