Question

How do you solve `\frac { 2} { 7} q + 3= 9`?

Answer 1

See a solution process below:

Explanation:

Step 1) Subtract `color(red)(3)` from each side of the equation to isolate the `q` term while keeping the equation balanced:

`2/7q + 3 - color(red)(3) = 9 - color(red)(3)`

`2/7q + 0 = 6`

`2/7q = 6`

Step 2) Multiply each side of the equation by `color(red)(7)/color(blue)(2)` to solve for `q` while keeping the equation balanced:

`color(red)(7)/color(blue)(2) * 2/7q = color(red)(7)/color(blue)(2) * 6`

`cancel(color(red)(7))/cancel(color(blue)(2)) * color(blue)(cancel(color(black)(2)))/color(red)(cancel(color(black)(7)))q = 42/color(blue)(2)`

`q = 21`