To solve problems like this you can either graph or solve mathematically. To do the ladder we need to solve for one variable at a time. So lets cancel one variable out.
Multiply equation 1 by 2
This will give 4x-2y=14
Now we can get rid of y by subtracting 2 from 1
This will give x=9
Plug back in to either equation, i will use equation 2
3(9)-2y=5 simplify
-2y=-22 solve
Y=11
Answer:
The answer to your question is the big dog weighs 120 pounds
Step-by-step explanation:
Data
big dog = b
medium dog = m
small dog = s
Equations
b = 5s
m = 12 + s
s = 2/3 m
Process
1.- Substitute m in the last equation
s = 2/3(12 + s)
s = 24/3 + 2/3s
s - 2/3s = 8
1/3 s = 8
s = 8(3)
s = 24 pounds
2.- Substitute s in the first equation
b = 5(24)
b = 120 pounds
Recall that the volume of a cube equals (side)^3. We can create an equation to model this.
1728 in^3 = (side)^3
We can get the cube root of both sides.
12 in = side
Each side is 12 inches long.