Answer:
(5,10)
Explanation:
So we have the system of equations:
![y=x+5\\3x+y=25](https://img.qammunity.org/2021/formulas/mathematics/high-school/dgqp1h6uv07ukuwkscufpha54ffnkl3g19.png)
To solve, we can use substitution.
Substitute the first equation into the second:
![3x+y=25\\3x+(x+5)=25](https://img.qammunity.org/2021/formulas/mathematics/high-school/zt7p0ctuob31h8rd4n1yxp4zc5r4s565jh.png)
Combine like terms:
![4x+5=25](https://img.qammunity.org/2021/formulas/mathematics/high-school/zebnd9ra6nednmu2adu5eof9cxx82iv72z.png)
Subtract 5:
![4x=20](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4pvjdndlunhikhj537ie7onf5fb3f3vuct.png)
Divide by 4:
![x=5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r130cmidu5qpu4isx9n84rpneq2ec7gp1u.png)
Now, substitute this into the first equation:
![y=x+5\\y=5+5](https://img.qammunity.org/2021/formulas/mathematics/high-school/wd86jsyl90ufuc7sex78tdziv13gukh2sg.png)
Add:
![y=10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/v7c9grwo9kztm4tkdi5bk7yisobcms99uo.png)
So, our answer is (5,10)
And we are done :)