Question #ae242

1 Answer
Jan 11, 2018

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.