Does this answer seem correct.
2k+3=4k-5
2k-4k+3-3=-5-3
2k-4k=-5-3
-2k/-2k = -8/2
k=4
2k+3=4k-5
Let's check it by substituting 4 for k.
(2 * 4) + 3 = (4 * 4) - 5
8 + 3 = 16 - 5
Yep!
11 = 11
To check if the provided answer is correct, let's start by solving the given equation step by step:
2k + 3 = 4k - 5
First, let's simplify the equation by combining like terms.
Subtract 2k from both sides of the equation:
2k - 4k + 3 = 4k - 5 - 2k
-2k + 3 = 2k - 5
Next, combine the constant terms on the right side of the equation:
-2k + 3 + 5 = 2k - 5 + 5
-2k + 8 = 2k
Now, to isolate the k variable, let's subtract 2k from both sides:
-2k - 2k + 8 = 2k - 2k
-4k + 8 = 0
Then, subtract 8 from both sides:
-4k + 8 - 8 = 0 - 8
-4k = -8
Next, let's solve for k by dividing both sides by -4:
-4k / -4 = -8 / -4
k = 2
Hence, the solution to the equation 2k + 3 = 4k - 5 is k = 2.
Now let's check if k = 2 indeed satisfies the equation:
2(2) + 3 = 4(2) - 5
4 + 3 = 8 - 5
7 = 3
Since the equation 7 = 3 is not true, the provided answer of k = 4 is incorrect.
Therefore, the answer 2k + 3 = 4k - 5 does not yield a correct solution. The correct solution to the equation is k = 2.