Answer:
Each poodle requires 1 balloon(s) and each poodle requires 3 balloons.
Explanation:
The equations that should be formed are:
3x + 3y = 12
3x + 2y = 9
In this scenario, x is the number of balloons required for a poodle, and y is the number of balloons required for a giraffe.
The question says that it should be solved using elimination.
This means that we have to completely reduce a variable to find the answer of the other remaining value. Since in both equations the coefficient of x is 3, they can cancel out when we subtract one from the other:
3x + 3y = 12
- 3x + 2y = 9
-----------------------
y = 3
This means that the number of balloons required for a giraffe is 3.
We can then put in this value of y, 3, into the equation to solve for x.
3x + 3 (3) = 12
3x + 9 = 12
3x = 12 - 9
3x = 3
x = 1
This reduces into the number of balloons required for a poodle to be 1.
We can confirm by plugging it in into the other equation.
3x + 2 (3) = 9
3x + 6 = 9
3x = 9 - 6
3x = 3
x = 1
After confirming, this should be the answer.
Hopefully this helps!