For this case we must simplify the following expression:
We eliminate the parentheses taking into account that:
So, we have:
We add similar terms taking into account that:
Different signs are subtracted and the sign of the major is placed:
Answer:
first, spread the parenthesis. y+2=1/2x-1.5
second, add 1.5 to both sides. y+3.5=1/2x
third, multiply by 2. 2y+7=x
if you are solving for y, do not do the third step, instead, subtract by 3.5. y=x-3.5
hope this helps!
ANSWER: x=2y+7 or y=x-3.5
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
