<em>An adult ticket costs $205 and a child ticket costs $49.</em>
<h2>
Explanation:</h2>
Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:
<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>
To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:
- Two families are planning a trip to Disney.
- The Smith family bought tickets for 2 adults and 3 children for $557.
- The Jones family bought tickets for 2 adults and 1 child for $459.
Let:
![x:Cost \ of \ ticket \ per \ adult \\ \\ y: Cost \ of \ ticket \ per \ child](https://tex.z-dn.net/?f=x%3ACost%20%5C%20of%20%5C%20ticket%20%5C%20per%20%5C%20adult%20%5C%5C%20%5C%5C%20y%3A%20Cost%20%5C%20of%20%5C%20ticket%20%5C%20per%20%5C%20child)
For the Smith family:
Cost for the 2 adults:
![2x](https://tex.z-dn.net/?f=2x)
Cost for the 3 children:
![3y](https://tex.z-dn.net/?f=3y)
Total cost:
![2x+3y=557](https://tex.z-dn.net/?f=2x%2B3y%3D557)
For the Jones family:
Cost for the 2 adults:
![2x](https://tex.z-dn.net/?f=2x)
Cost for the 1 child:
![y](https://tex.z-dn.net/?f=y)
Total cost:
![2x+y=459](https://tex.z-dn.net/?f=2x%2By%3D459)
So we have the following system of linear equations:
![\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\2x+y=459\end{array}\right.](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7D%281%29%5C%5C%282%29%5Cend%7Barray%7D%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bc%7D2x%2B3y%3D557%5C%5C2x%2By%3D459%5Cend%7Barray%7D%5Cright.)
Subtracting (2) from (1):
![\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-(2x+y=459)\end{array}\right. \\ \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-2x-y=-459\end{array}\right. \\ \\ \\ (2x-2x)+(3y-y)=557-459 \\ \\ 2y=98 \\ \\ y=49 \\ \\ \\ Finding \ x \ from \ (1): \\ \\ 2x+3(49)=557 \\ \\ 2x=557-147 \\ \\ 2x=410 \\ \\ x=205](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7D%281%29%5C%5C%282%29%5Cend%7Barray%7D%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bc%7D2x%2B3y%3D557%5C%5C-%282x%2By%3D459%29%5Cend%7Barray%7D%5Cright.%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cbegin%7Barray%7D%7Bc%7D%281%29%5C%5C%282%29%5Cend%7Barray%7D%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bc%7D2x%2B3y%3D557%5C%5C-2x-y%3D-459%5Cend%7Barray%7D%5Cright.%20%5C%5C%20%5C%5C%20%5C%5C%20%282x-2x%29%2B%283y-y%29%3D557-459%20%5C%5C%20%5C%5C%202y%3D98%20%5C%5C%20%5C%5C%20y%3D49%20%5C%5C%20%5C%5C%20%5C%5C%20Finding%20%5C%20x%20%5C%20from%20%5C%20%281%29%3A%20%5C%5C%20%5C%5C%202x%2B3%2849%29%3D557%20%5C%5C%20%5C%5C%202x%3D557-147%20%5C%5C%20%5C%5C%202x%3D410%20%5C%5C%20%5C%5C%20x%3D205)
Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>
<em></em>
<h2>Learn more:</h2>
System of linear equations: brainly.com/question/13799715
#LearnWithBrainly
84/100. 42/50. 21/25. And there not sure though
1/(x^5) is equal to x^-5, by the definition of negative exponents.
I = sqrt(-1)
i^2 = -1
(-i)^2 = (-i)(-i) = i^2 = -1
(-i)^3 = (-i)(-i)(-i) = (-i)(i^2) = i
use these facts to find which equation is correct if x = -i
i bet on 2,3 or 4
Answer:
Step-by-step explanation: