Final answer:
To find the value of x in the given system of equations, we can use the method of substitution. Rounding up to the nearest whole number, x = 3.
Step-by-step explanation:
To find the value of x in the given system of equations, we can use the method of substitution. We will solve one equation for y and substitute it into the other equation.
Starting with the first equation, 2x + 3y = 9, we can solve it for y:
3y = -2x + 9
y = (-2/3)x + 3
Now we substitute this expression for y into the second equation, 3x - 2y = 6:
3x - 2((-2/3)x + 3) = 6
3x + (4/3)x - 6 = 6
(13/3)x = 12
x = (12/13) * 3
x = 36/13
Rounding up to the nearest whole number, x = 3.