(1) To solve the system of linear equations:

3x - 2y = 7 ...(Equation 1)
2x + y = 4 ...(Equation 2)

We can use either the substitution method or the elimination method. Let's use the elimination method:

Multiply Equation 2 by 2 to eliminate the y-term:
4x + 2y = 8 ...(Equation 3)

Now add Equation 1 and Equation 3 to eliminate the y-term:
(3x - 2y) + (4x + 2y) = 7 + 8
7x = 15

Divide both sides by 7 to solve for x:
x = 15/7

Substitute the value of x into either Equation 1 or Equation 2 to solve for y. Let's use Equation 2:
2(15/7) + y = 4
30/7 + y = 4
y = 4 - 30/7
y = 28/7 - 30/7
y = -2/7

Therefore, the solution to the system of equations is:
x = 15/7
y = -2/7

(2) Let V represent the volume of the ice cube, and l represent the length of each edge.

The volume V of a cube is given by V = l^3.

The rate at which the volume is changing is the derivative of the volume with respect to time (dV/dt).

Given that each edge is shrinking by 2 centimeters per minute (dl/dt = -2), we need to find dV/dt when l = 15 cm.

Using the chain rule, we have:
dV/dt = (dV/dl) * (dl/dt)

Differentiating the volume V = l^3 with respect to l, we get:
dV/dl = 3l^2

Substituting dl/dt = -2 and l = 15 into the equation, we have:
dV/dt = (3(15)^2) * (-2)
dV/dt = 3 * 225 * (-2)
dV/dt = -1350

Therefore, at the moment when each edge is 15 cm long, the rate at which the volume is changing is -1350 cubic centimeters per minute.

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