Answer:
![x=2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/l44oth01qqbnuop6qxtvmqlzuv7kvr7xrb.png)
Explanation:
Given a System of linear equations, the solution of the system is the point
in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.
Having the following System of equations:
![\left \{ {{9x - 6y = 12} \atop {3x + 2y =8}} \right.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8ufe85xc0ea25l8yd4aa3h5vmjqdjt2gh1.png)
You can use the Elimination method to find the value of "x":
-Multiply the second equation by 3.
- Add the equations.
- Solve for "x".
Then, you get:
![\left \{ {{9x - 6y = 12} \atop {9x +6y =24}} \right.\\.......................\\18x=36\\\\x=(36)/(18)\\\\x=2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7vfp15f2cr8f2qvtszig6mxc600hrwjgya.png)