Answer: k = 4
17=5k-3
1. In order to solve this linear equation, we'll need to group all the variable terms on one side, and all the constant terms on the other side of the equation. In the problem, term -3 will be moved on the left side. Notice the sign changes when you move it to the left.
- 17=5k-3 ⇒ 17 + 3 = (5k - 3) + 3
20 = 5k - 3 + 3
2. Add the numerical terms.
20 = 5k - (3 + 3) = 6. <em>Note: We don't need the six in the 3rd step.</em>
20 = 5k
3. Switch the variable term. (Ex: 3x + 9 ⇒ 9 + 3x)
5k = 20
4. We will need to isolate the variable, to do that, get rid of the coefficient that it multiples. We can do that by dividing 5 by both sides.
5k/5
5. We'll need to reduce 5k/5 to its lowest terms. We can divide the factors that appear both in the numerator and denominator. If we look at 5k/5, 5 appears both in the numerator and denominator.
6. Lastly, we can do the same thing as we did in the 5th step. That'll lead us to k = 2²
7. Solve for 2²
2 x 2 = 4.
Hence, our answer is 4.
Got any questions? Tell me in the comments.
~ Lily, from Brainly.
