Question

Question #ae242

Answer 1

`x=18`

Explanation:

First, we will distribute parentheses like this:
`x(y+z)=xy+xz`

Therefore, `0.75(x+y)=12` is equal to `0.75x+0.75y=12`

Since we know that `y=-2`, we can put it in our equation
`0.75x+0.75y=12 ->`
`0.75x+0.75(color(red)-color(red)2)=12`

Simplified:
`0.75xcolor(red)−1.5=12`

Since we know that `0.75xx-2=-1.5`, we can change the `+` to a `-`.
Then, we multiply both sides by `100`:
`0.75xcolor(red)*color(red)100-1.5color(red)*color(red)100=12color(red)*color(red)100`
which is equals to
`75x-150=1200`

Add `150` to both sides:
`75x-150color(red)+color(red)150=1200color(red)+color(red)150`

Simplify:
`75x=1350`
Then you divide both sides by `75`

`(75x)/color(red)75=1350/color(red)75`

`75x-:75=x`
`1350-:75=18`

Therefore, `x=18`.