Question

How do you solve `1\frac { 1} { 4} y = - 3\frac { 3} { 4}`?

Answer 1

See the entire solution process below:

Explanation:

First, convert each mixed fraction to an improper faction as shown:

`((4/4 xx 1) + 1/4)y = -((4/4 xx 3) + 3/4)`

`(4/4 + 1/4)y = -(12/4 + 3/4)`

`5/4y = -15/4`

Now, multiply each side of the equation by `color(red)(4)/color(blue)(5)` to solve for `y` while keeping the equation balanced:

`color(red)(4)/color(blue)(5) xx 5/4y = color(red)(4)/color(blue)(5) xx -15/4`

`cancel(color(red)(4))/cancel(color(blue)(5)) xx color(blue)(cancel(color(black)(5)))/color(red)(cancel(color(black)(4)))y = cancel(color(red)(4))/cancel(color(blue)(5)) xx (-cancel(color(blue)(color(black)(15)))3)/color(red)(cancel(color(black)(4)))`

`y = -3`