Answer:
Fourth option
Explanation:
If you dont have a graphing calculator, we can solve this system using elimination. If we subtract the two linesr functions, we get
![(3x - 8y = 29) - (3x + y = - 2) = - 9y = 31](https://img.qammunity.org/2022/formulas/mathematics/high-school/igpndgg360ru9mvaiux1flwnpqfcv522y6.png)
So our new equation is
![- 9y = 31](https://img.qammunity.org/2022/formulas/mathematics/high-school/hre6jtcn920qqxrr59gmh4matb0tsk8g2f.png)
![y = - (31)/(9)](https://img.qammunity.org/2022/formulas/mathematics/high-school/kw030vb3o8xyjf1uqmqylqahokl3cn84ma.png)
Now since we know what y is, we plug this in back into the equation and solve for x.
![3x - 8( ( - 31)/(9) ) = 29](https://img.qammunity.org/2022/formulas/mathematics/high-school/1j1frr7h5oxv7jucijf22ndof3u1p3hlpl.png)
![3x + (248)/(9) = 29](https://img.qammunity.org/2022/formulas/mathematics/high-school/m0ob593ka4xrh79ptmhxcp8blq1h6vp4zq.png)
![3x = (13)/(9)](https://img.qammunity.org/2022/formulas/mathematics/high-school/daidg2i2csh9rvdddq4dxlt1bbrtxlwqgj.png)
![x = (13)/(27)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zx3qqlarubl3klnuwjlq8ylcotu41is8u7.png)
The answer choice that resembles this mostly is the fourth option.