Solve the equation using the property and the steps: 2n (x + 8) = 2x + 8
Step 1: Response area Property to get Response area
Step 2: Response area Property to get Response area
There is/are Response area solution(s)
Step 1: Distribute the 2n to both terms inside the parentheses:
2nx + 16n = 2x + 8
Step 2: Combine like terms on each side of the equation:
2nx - 2x = 8 - 16n
Simplifying further:
(2n - 2)x = 8 - 16n
To solve for x, divide both sides of the equation by (2n - 2):
x = (8 - 16n)/(2n - 2)
Therefore, the solution to the equation is x = (8 - 16n)/(2n - 2).
how many solutions are their to the problem
The number of solutions to the problem depends on the value of n.
If the denominator (2n - 2) equals 0, then the equation is undefined and has no solution. So, if n = 1, the equation is undefined and has no solutions.
For any other value of n, the equation is defined and will have one solution. So, if n is not equal to 1, the equation will have one solution.