Parameter Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

hard
For what value of the parameter kk does kx+2=6kx + 2 = 6 have the solution x=2x = 2?

Solution

  1. 1
    Substitute x=2x = 2: k(2)+2=6k(2) + 2 = 6.
  2. 2
    Solve for kk: 2k=42k = 4, so k=2k = 2.
  3. 3
    The parameter value k=2k = 2 gives the equation 2x+2=62x + 2 = 6 with solution x=2x = 2.

Answer

k=2k = 2
Parameters can be found by substituting known conditions. Here, knowing the solution determines the parameter.

About Parameter

A parameter is a quantity in a mathematical expression that remains constant for a particular case but can change between cases. For example, in y = mx + b, the slope m and intercept b are parameters — each choice of m and b gives a different line.

Learn more about Parameter →

More Parameter Examples

Example 1 medium

In the family of lines [formula], what role does [formula] play?

Example 3 medium

In the family of lines [formula], find the slope when the line passes through [formula].

Example 4 easy

In [formula], is [formula] a variable or a parameter?

Example 5 medium

The quadratic [formula] has a zero at [formula]. Find [formula].

← All Parameter Examples Parameter Concept