Answer: [tex]x=2[/tex]
Step-by-step explanation:
Given a System of linear equations, the solution of the system is the point [tex](x,y)[/tex] in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.
Having the following System of equations:
[tex]\left \{ {{9x - 6y = 12} \atop {3x + 2y =8}} \right.[/tex]
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:
[tex]\left \{ {{9x - 6y = 12} \atop {9x +6y =24}} \right.\\.......................\\18x=36\\\\x=\frac{36}{18}\\\\x=2[/tex]