Question

Does the equation -18-6k=6(1+3k) have one solution, no solution, or infinite solutions

Answer 1

One Solution K= -1

Explanation:

You start with -18-6k=6(1+3k)

Then you distribute 6 and get -18-6k=6+18k

Then combine like terms on both sides of the equation by adding 18 to both sides, and adding 6k on both sides. Now you should have 0=24k+24

Then you want to isolate the term with k by subtracting 24, now it should be -24=24k

Now divide 24 from both sides because it is connected with multiplication, and you get K= -1. This is one solution

Answer 2

One solution.

Explanation:

Step 1: Write equation

-18 - 6k = 6(1 + 3k)

Step 2: Solve for k

1. Distribute 6: -18 - 6k = 6 + 18k
2. Add 6k on both sides: -18 = 6 + 24k
3. Subtract 6 on both sides: -24 = 24k
4. Divide both sides by 24: -1 = k
5. Rewrite: k = -1

Here, we see that we would have 1 solution.