1. 2. two small pitchers and one large pitcher can hold 8 cups of water. one large pitcher minus one small pitcher constitutes 2 cups of water. how many cups of water can each pitcher hold?

Hey MonkeyForLife,

Question:

Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?

We Know:

All 3 picthers hold 8 cups together.

Solution:

8 - 2 = 6

6 - 4 = 2

2 - 2 = 0

Small pitchers hold 2 cups.

Large pitchers hold 4 cups.

4 + 2 + 2 = 8

  Larger pitcher holds 4  Cups of water, and the Smaller pitchers hold 2 Cups of water.     >     X  =   4,     Y   =    2

Step-by-step explanation:

Solve the Equation:

x    +   2y    =   8

x    -   y      =    2

Solve:

x   +   2y   =    8;     x     -  y   =  2

Solve:

x    +   2y    =   8    for  x

x     +   2y   +      -2y    =    8     +    -2y  

Add   -2y both sides:

x      =      -2y     +   8

Substitute:

-2y   +    8   for x   in   x   -  y   = 2

x    -  y  =  2

-2y    +   8   -    y    =   2

-3y    +    8   =    2

Simplify both sides:

-3y    +    8  +      -8    =   2     +     -8

Add:   -8  both sides

-3y    =    -6

-3y/ -3       =       -6/-3

Divide both  sides by  -3:

y    =    2

Step 2:  Substitute:

2  for y   in  x   =     -2y    +  8

x   =    2y   +  8

x   =     (-2 )(2)     +   8

x     =     4  

Simplify both sides of equation:

Therefore,  your answer   for the larger pitcher holds, x  =  4 cups of water, while the smaller pitchers hold, y  =  2 cups of water.

Hope that helps                         : )

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: