Question

Question #0cdf4

Answer 1

`x=-5/6y+6`

Explanation:

Given:`" "y=-5/6 x+5`

Subtract `color(red)(5)` from both sides

`color(green)(ycolor(red)(-5)=-5/6x+5color(red)(-5))`

`y-5=-5/6x`

Multiply both side by `-1` to make `-5/6x` positive

`-y+5=+5/6x`

Multiply both sides by `6/5`. Turns the `5/6` from `5/6x` into 1

`6/5(-y+5)=x`

`-5/6y+6=x`

Write as: `x=-5/6y+6`

Answer 2

`x=-6/5y+6`

Explanation:

`y=-5/6x+5`

`:.-5/6x+5=y`

multiply both sides by`-6/5`

`:.-5/6x xx (-6/5)+5/1 xx (-6/5)=y xx -6/5`

`:.x-6=(-6)/5y`

`:.x=(-6)/5y+6`