describe the error that was made when solving for k
solve for the correct solution make sure to show work
original equation k/4 + 6 = -2
(4) . k/4 + 6 = -2. (4) k + 6 = -8
-6 -6
answer k = -14
The error that was made when solving for k is that the number 4 was not distributed to both terms in the equation correctly. Instead of multiplying 4 to both k and 6, it was only multiplied to k.
The correct solution should distribute 4 to both terms in the equation:
4(k/4 + 6) = 4(-2)
k + 24 = -8
Then, subtract 24 from both sides to isolate k:
k = -8 - 24
k = -32
The error that was made when solving for k was applying the distributive property incorrectly. Let's solve for the correct solution step-by-step:
Original equation: k/4 + 6 = -2
Multiply both sides of the equation by 4 to eliminate the fraction:
(4) * (k/4 + 6) = (4) * (-2)
k + 24 = -8
To isolate k, subtract 24 from both sides of the equation:
k + 24 - 24 = -8 - 24
k = -32
The correct solution is k = -32.
The error made when solving for k in the original equation k/4 + 6 = -2 is in the step where it was multiplied by 4.
To solve for k, let's go through the correct solution step by step:
1. Start with the original equation: k/4 + 6 = -2
2. Subtract 6 from both sides to isolate the term containing k:
k/4 = -2 - 6
k/4 = -8
3. To get rid of the fraction, multiply both sides by 4:
4 * (k/4) = 4 * (-8)
k = -32
So, the correct solution is k = -32.
Please note that the mistake in the original solution was multiplying the entire equation by 4, instead of just multiplying the fraction k/4 by 4. This error led to an incorrect result of k = -14.