Question

question 5
solve each equation. make sure to check your solution(s).
$7k + 2 = 86$
$k = \square$
$-5k - 6 = -71$
$k = \square$
question help: video 1 video 2 written example 1

Explanation:

Step1: Isolate term with $k$ (1st eq)

Subtract 2 from both sides:
$7k + 2 - 2 = 86 - 2$
$7k = 84$

Step2: Solve for $k$ (1st eq)

Divide both sides by 7:
$k = \frac{84}{7} = 12$

Step3: Verify 1st solution

Substitute $k=12$ into $7k+2$:
$7(12)+2 = 84+2 = 86$, which matches the right-hand side.

Step4: Isolate term with $k$ (2nd eq)

Add 6 to both sides:
$-5k - 6 + 6 = -71 + 6$
$-5k = -65$

Step5: Solve for $k$ (2nd eq)

Divide both sides by $-5$:
$k = \frac{-65}{-5} = 13$

Step6: Verify 2nd solution

Substitute $k=13$ into $-5k-6$:
$-5(13)-6 = -65-6 = -71$, which matches the right-hand side.

Answer:

For $7k + 2 = 86$, $k = 12$
For $-5k - 6 = -71$, $k = 13$