What number is the solution to the equation -9(k-7) =-54
a)-26
b)23
c)28
d)37
To solve the equation -9(k-7) = -54, we will proceed step-by-step.
Step 1: Distribute -9 to the terms inside the parentheses:
-9 * k - 9 * (-7) = -54
-9k + 63 = -54
Step 2: Combine like terms by subtracting 63 from both sides of the equation:
-9k + 63 - 63 = -54 - 63
-9k = -117
Step 3: Divide both sides of the equation by -9 to isolate the variable k:
(-9k) / (-9) = (-117) / (-9)
k = 13
Therefore, the solution to the equation -9(k-7) = -54 is k = 13.
None of the options provided (a) -26, b) 23, c) 28, d) 37) is the correct solution.
To find the solution to the equation -9(k-7) = -54, we can follow these steps:
Step 1: Distribute the -9 across the expression (k-7):
-9 * k + (-9 * -7) = -54
Simplifying further:
-9k + 63 = -54
Step 2: Move the constant term (63) to the other side of the equation by subtracting it from both sides:
-9k + 63 - 63 = -54 - 63
This simplifies to:
-9k = -117
Step 3: Solve for k by dividing both sides of the equation by -9:
-9k / -9 = -117 / -9
This simplifies to:
k = 13
Therefore, the solution to the equation -9(k-7) = -54 is k = 13.
Out of the given options (a)-26, b)23, c)28, d)37), none of them match the solution, which is k = 13.
-9(k-7) =-54
-9k + 63 = -54
-9k = -54 + (-63)
-9k = -117
k = 117/9
k = ?