Question

Solve for x. Show steps.

`y=mx+b`

Answer 1

`x=\frac{y-b}m`

Explanation:

We subtract b from both sides.

`y-b = mx`

We divide both sides by m (as long as
`m\\e0`) and read right to left.

`x= \frac{y-b}m`

Answer 2

`x=(y-b)/(m)`

Explanation:

`\mathrm{Switch\:sides}`

`mx+b=y`

`\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}`

`mx+b-b=y-b`

`\mathrm{Simplify}`

`mx=y-b`

`\mathrm{Divide\:both\:sides\:by\:}m;\quad \:m\\e \:0`

`(mx)/(m)=(y)/(m)-(b)/(m);\quad \:m\\e \:0`

`\mathrm{Simplify}`

`x=(y-b)/(m);\quad \:m\\e \:0`

[RevyBreeze]