Question

16x3x(k + 2) = 2x

Example #4: No calculator allowed: In the equation above, k is a constant. If the
equation has infinitely many solutions, what is the value of k?

Answer 1

To find the value of k for which the equation has infinitely many solutions, equate the coefficients of x on both sides of the equation and solve for k. The value of k is -15/8.

Step-by-step explanation:

To find the value of k for which the equation has infinitely many solutions, we need to equate the coefficients of x on both sides of the equation. By comparing the coefficients, we have:

16x3(k + 2) = 2x

16k + 32 = 2

16k = -30

k = -30/16 = -15/8

Therefore, the value of k for which the equation has infinitely many solutions is -15/8.

Learn more about Infinite solutions in equations