Answer:
![(x,y) = (0,7)](https://img.qammunity.org/2022/formulas/mathematics/college/uxvzebhoqwt9rbi6oon7mdpgtvr7ilpgh7.png)
![(x,y) = (3,7)](https://img.qammunity.org/2022/formulas/mathematics/college/fans73o0fv97ce7hbrzsznhslc40odnogn.png)
Explanation:
The question and the attached image are different. However, the attached image answers the question y = -4 correctly.
So, I will solve for:
![y = -x + 7](https://img.qammunity.org/2022/formulas/mathematics/college/y8rc7qdi7hmxo2f7cxzroyx1qkp1uobwj4.png)
Given
![y = -x + 7](https://img.qammunity.org/2022/formulas/mathematics/college/y8rc7qdi7hmxo2f7cxzroyx1qkp1uobwj4.png)
Required
Possible values of x and y
Let x = 0:
![y = -x + 7](https://img.qammunity.org/2022/formulas/mathematics/college/y8rc7qdi7hmxo2f7cxzroyx1qkp1uobwj4.png)
![y = -0 + 7](https://img.qammunity.org/2022/formulas/mathematics/college/pqfzmo8f3f6vw7jul2bfgy4qs5rb25y06l.png)
![y = 7](https://img.qammunity.org/2022/formulas/mathematics/high-school/wxisd5rwvav77a8sca5k1pp7goipu96pfr.png)
So, we have:
![(x,y) = (0,7)](https://img.qammunity.org/2022/formulas/mathematics/college/uxvzebhoqwt9rbi6oon7mdpgtvr7ilpgh7.png)
Let y = 4
![y = -x + 7](https://img.qammunity.org/2022/formulas/mathematics/college/y8rc7qdi7hmxo2f7cxzroyx1qkp1uobwj4.png)
![4 = -x + 7](https://img.qammunity.org/2022/formulas/mathematics/college/tehwqa1ytn44bmshvoe03p1gn5ca5gq5ga.png)
Collect Like Terms
![x = -4 + 7](https://img.qammunity.org/2022/formulas/mathematics/college/vvt52fx0dh7sz4vhpbtoi1l4e71q1dfics.png)
![x =3](https://img.qammunity.org/2022/formulas/mathematics/college/81z6ivgusi4j4x775kegzgn4zwbz09ssa4.png)
So, we have:
![(x,y) = (3,7)](https://img.qammunity.org/2022/formulas/mathematics/college/fans73o0fv97ce7hbrzsznhslc40odnogn.png)
So, all you need to do is: assume a value for either x or y, then solve for the other variable.