Question

Solve xm=x+z for x
im confused

Answer 1

To solve for x in the equation xm = x + z, you can follow these steps:

Subtract x from both sides of the equation:
xm - x = x + z - x
Factor out x from the left side:
x(m - 1) = z
Finally, solve for x by dividing both sides by (m - 1):
x = z / (m - 1)
So, x = z / (m - 1) is the solution for x in the equation xm = x + z.

Answer 2

The solution to the equation
`xm = x + z \ for \ x \ is \ x = z / (m - 1).`

Explanation:

To solve the equation
`xm = x + z \ for \ x` , we can follow these steps:

1. Move all terms containing
`x` to one side of the equation. To do this, subtract
`x` from both sides:

`xm - x = z`

2. Factor out the common factor of
`x` on the left side of the equation:

`x(m - 1) = z`

3. Divide both sides of the equation by
`(m - 1)` to isolate
`x` :

`x = z / (m - 1)`

So, the solution to the equation
`xm = x + z \ for \ x \ is \ x = z / (m - 1).`

Here's an example to illustrate the solution:

Let's say we have the equation
`2m = x + 4` . To solve for
`x` , we can use the formula
`x = z / (m - 1)` .

Using the given equation, we have:

`2m = x + 4`

To isolate
`x` , we subtract 4 from both sides:

`2m - 4 = x`

Now, we can see that the equation is in the form
`xm = x + z` , where
`m = 2 \ and \ z = -4.`

Using the formula
`x = z / (m - 1)` , we can substitute the values:

`x = (-4) / (2 - 1)`

Simplifying the expression, we get:

`x = -4 / 1\\x = -4\\`

So, in this example, the solution for
`x \ is \ -4.`