Question

How do you solve `\frac { 10} { -6} x = 6`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(-6)/color(blue)(10)` to solve for `x` while keeping the equation balanced:

`color(red)(-6)/color(blue)(10) xx 10/-6x = color(red)(-6)/color(blue)(10) xx 6`

`cancel(color(red)(-6))/cancel(color(blue)(10)) xx color(blue)(cancel(color(black)(10)))/color(red)(cancel(color(black)(-6)))x = -36/color(blue)(10)`

`x = -(2 xx 18)/color(blue)(2 xx 5)`

`x = -(color(blue)(cancel(color(black)(2))) xx 18)/color(blue)(color(black)(cancel(color(blue)(2))) xx 5)`

`x = -18/5`