Original equation k/4 + 6 = -2 Describe the error that was made when solving for k Solve for the correct solution show all steps and answer like a 12 year old girl
(4) * k/4 + 6 = -2 * (4)
k+6 = -8
-6 -6
k = -14
The error made when solving for k was that the person forgot to multiply the 4 to both the k and the 6. They only multiplied the -2 by the 4.
To solve it correctly, we need to multiply both the k and the 6 by 4.
First, we have:
(4) * k/4 + 6 = -2 * 4
When we multiply, we get:
k + 6 = -8
Then, we need to get rid of the 6 on the left side of the equation. We can do this by subtracting 6 from both sides:
k + 6 - 6 = -8 - 6
This simplifies to:
k = -14
So the correct solution is k = -14.
The error that was made when solving for k was multiplying the whole equation by 4, instead of just multiplying k/4 by 4.
Let me show you the correct steps, step-by-step:
Step 1: Start with the original equation:
k/4 + 6 = -2
Step 2: Multiply k/4 by 4 (not the whole equation) to get rid of the fraction:
(4) * (k/4) + 6 = -2 * (4)
k + 6 = -8
Step 3: Now, subtract 6 from both sides of the equation to isolate k on one side:
k + 6 - 6 = -8 - 6
k = -14
So, the correct solution is k = -14.
The error made when solving for k is that the original equation was not multiplied by 4 correctly. Here's the correct way to solve the equation:
Step 1: Start with the original equation: k/4 + 6 = -2
Step 2: To get rid of the fraction, we multiply both sides of the equation by 4. We need to multiply every term (the k/4 and the 6) by 4.
Step 3: On the left-hand side, the 4 cancels out the 4 in the denominator, leaving us with just k.
Step 4: On the right-hand side, we have -2 multiplied by 4, which gives us -8.
Step 5: So, our new equation is: k + 6 = -8.
Step 6: To isolate k, we need to move the 6 to the other side. We do this by subtracting 6 from both sides of the equation.
Step 7: On the left-hand side, the 6 and -6 cancel each other out, leaving us with just k.
Step 8: On the right-hand side, -8 minus 6 gives us -14.
Step 9: So, our final solution is: k = -14.
I hope that helps, like a 12-year-old girl!