<u>ANSWER</u>
A. (4,12)
<u>EXPLANATION</u>
The equations are:
![10x +2y = 64...(1)](https://tex.z-dn.net/?f=10x%20%2B2y%20%3D%2064...%281%29)
and
![3x - 4y = -36...(2)](https://tex.z-dn.net/?f=3x%20-%204y%20%3D%20-36...%282%29)
To eliminate a variable we make the coefficients of that variable the same in both equations.
It is easier to eliminate x.
We multiply the first equation by 2 to get:
![20x + 4y = 128...(3)](https://tex.z-dn.net/?f=20x%20%2B%204y%20%3D%20128...%283%29)
We add equations (2) and (3).
![3x + 20x + 4y - 4y = - 36 + 128](https://tex.z-dn.net/?f=3x%20%2B%2020x%20%2B%204y%20-%204y%20%3D%20%20-%2036%20%2B%20128)
![23x = 92](https://tex.z-dn.net/?f=23x%20%3D%2092)
Divide both sides by 23
![\frac{23x}{23} = \frac{92}{23}](https://tex.z-dn.net/?f=%20%5Cfrac%7B23x%7D%7B23%7D%20%20%3D%20%20%5Cfrac%7B92%7D%7B23%7D%20)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
Put x=4 into equation (1).
![10(4)+2y = 64](https://tex.z-dn.net/?f=10%284%29%2B2y%20%3D%2064)
![40+2y = 64](https://tex.z-dn.net/?f=40%2B2y%20%3D%2064)
![2y = 64 - 40](https://tex.z-dn.net/?f=2y%20%3D%2064%20-%2040)
![2y = 24](https://tex.z-dn.net/?f=2y%20%3D%2024)
![\frac{2y}{2} = \frac{24}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2y%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B24%7D%7B2%7D%20)
![y = 12](https://tex.z-dn.net/?f=y%20%3D%2012)
The solution is (4,12)
1) 32w -40
2) -275
Lmk if it helped you
Well 1/3 for savings means that you save 1/3*4500 or 1500 dollars.
You then have $3000 left. Of this if you spend 50% on food, you spend 0.5*3000 or 1500 dollars on food.
Answer:
4
Step-by-step explanation: