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

Question

3x - 2y = 7
-3x + y = 5

Answer 1

The equations of linear system are .

Solve the equation 2: for y, since the y has a coefficient of 1.

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

.

Substitute the value of in the equation to find the value of y.

.

The solution .

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