Question

How do you solve `2m + 14.63= 6.3m + 1.3`?

Answer 1

`m = 3.1`

Explanation:

First, isolate the `m` terms on the right side of the equation and the constants on the left side of the equation while keeping the equation balanced:

`2m + 14.63 - color(red)(2m - 1.3) = 6.3m + 1.3 - color(red)(2m - 1.3)`

`2m - color(red)(2m) + 14.63 - color(red)(1.3) = 6.3m - color(red)(2m) + 1.3 - color(red)(1.3)`

`0 + 13.33 = 4.3m + 0`

`13.33 = 4.3m`

Now we can divide each side of the equation by `4.3` to solve for `m` and keep the equation balanced:

`13.33/color(red)(4.3) = (4.3m)/color(red)(4.3)`

`3.1 = (color(red)(cancel(color(black)(4.3)))m)/color(red)(cancel(color(black)(4.3)))`

`3.1 = m`

or

`m = 3.1`