Question

6x - 2y = 10; 3x - 2 = y

Explanation:

Step1: Substitute y into first equation

Substitute $y=3x-2$ into $6x-2y=10$:
$6x - 2(3x - 2) = 10$

Step2: Expand and simplify the equation

$6x - 6x + 4 = 10$
$4 = 10$

Step3: Analyze the resulting statement

The equation $4=10$ is a false contradiction, meaning there is no pair of $(x,y)$ that satisfies both equations simultaneously.

Answer:

There is no solution (the system is inconsistent).