Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent

Question

5x - 6y = 32
x = 6 - 3y

Answer 1

The equations of linear system are .

The equation 2: is already solved for x.

Substitute the value of in the equation 1: and solve for y.

.

Substitute the value of in the equation 2: to find the value of x.

.

The solution .

The above linear system has exactly one solution, so the system is called consistent independent system.