Question

Solve each literal equation for x.

5+kx=17
9x−2c=k

a) x=2, c=8

b) x=2, c=−8

c) x=2, c=12

d) x=2, c=−12

Answer 1

To solve the equation 5+kx=17 for x, subtract 5 from both sides and then divide by k. To solve the equation 9x−2c=k for x, add 2c to both sides and then divide by 9. The correct answer is option a) x=2, c=8.

Step-by-step explanation:

To solve the equation 5+kx=17 for x:

1. Subtract 5 from both sides to isolate the kx term: kx = 17 - 5 = 12
2. Divide both sides by k to solve for x: x = 12/k

To solve the equation 9x−2c=k for x:

1. Add 2c to both sides to isolate the 9x term: 9x = k + 2c
2. Divide both sides by 9 to solve for x: x = (k + 2c)/9

Therefore, the correct answer is option a) x=2, c=8.