Solve the equation. Check your answer.Remember combine your like terms
-12+5k=15=4k
27
3
-3
9
The equation is: -12 + 5k + 15 = 4k.
Combine like terms: 3k + 3 = 4k.
Subtract 3k from both sides: 3 = k.
The solution to the equation is k = 3.
Checking the answer:
-12 + 5(3) + 15 = 4(3)
-12 + 15 + 15 = 12
3 = 12.
The equation is not true, so k = 3 is not the correct solution.
To solve the equation -12+5k=15+4k, we need to combine like terms.
Starting with -12+5k, we can combine it with 15+4k:
-12+15+5k=4k
Combine -12 and 15:
3+5k=4k
Next, we want to isolate the variable, k, on one side of the equation. To do that, we can subtract 4k from both sides:
3+5k-4k=4k-4k
3+k=0
Now, we can further isolate k by subtracting 3 from both sides:
3+k-3=0-3
k=-3
So the solution to the equation -12+5k=15+4k is k=-3.
To check our answer, we substitute k=-3 back into the equation:
-12+5(-3)=15+4(-3)
-12-15=15-12
-27=3
The left side is equal to the right side, so our answer is correct.
Therefore, the correct answer is k=-3.
To solve the equation -12 + 5k = 15 + 4k, we need to combine like terms.
We start by moving all the terms with k to one side of the equation, and the constants to the other side.
-12 + 5k - 4k = 15
Combine the k terms:
-12 + k = 15
Next, we want to isolate the k term, so we need to move the constant -12 to the other side of the equation.
k = 15 + 12
Simplifying further, we have:
k = 27
To check our answer, we substitute the value of k back into the original equation:
-12 + 5(27) = 15 + 4(27)
-12 + 135 = 15 + 108
123 = 123
Since both sides of the equation are equal, we can conclude that the value of k = 27 is correct.
Therefore, the correct answer is k = 27.