What is the x-coordinate of the solution to the system of equations 3x-2y=-30 6x+3y=3

You can subtract the second equation from the first equation to eliminate y:

7x + y = 25 - 6x + y = 23: 7x - 6x = x; y - y = 0; 25 - 23 = 2

x = 2

You could also solve one equation for y and substitute that value in for y in the other equation:

6x + y = 23 → y = 23 - 6x.

7x + y = 25 → 7x + (23 - 6x) = 25 → x + 23 = 25 → x = 2