Answer: A: (6, 5)
Explanation:
When graphing a system of equations, you can find the solution by finding where the graphs intersect. In this case, the graphs intersect at (6, 5).
To verify that this is indeed a solution to the system of equations, we can substitute (6, 5) into both of the given equations:
![y = (1)/(2)x + 2](https://img.qammunity.org/2022/formulas/mathematics/college/qi0i90vczefwbjsbwf3t1kasuaq5ns9ayd.png)
![5 = (1)/(2) * 6 + 2](https://img.qammunity.org/2022/formulas/mathematics/college/6fzf91v9o1ir8o2qd47dwi9k7v8nw5cgtx.png)
![5 = 3 + 2](https://img.qammunity.org/2022/formulas/mathematics/college/c3qjkvach1odudf0hwexne99ccde2qvpoc.png)
![5 = 5](https://img.qammunity.org/2022/formulas/social-studies/high-school/2p26n77vi6tnvoyhi6o9s06sa6y23rx6cp.png)
![y = x - 1](https://img.qammunity.org/2022/formulas/mathematics/high-school/yyjmphb6hqj8qj33bnfr4rs1331eshsx8y.png)
![5 = 6 - 1](https://img.qammunity.org/2022/formulas/mathematics/college/jiv5bmretdlkfbyxg5wctaqmtr5gortrpe.png)
![5 = 5](https://img.qammunity.org/2022/formulas/social-studies/high-school/2p26n77vi6tnvoyhi6o9s06sa6y23rx6cp.png)
Since both equations hold true when plugging in the given coordinate (6, 5), we know that this is a solution to the system of equations.