Classify the system correctly

Y = 5x + 2

10x - 2y = 12

Answer: Inconsistent System

Explanation:

If you solve 10x-2y = 12 for y, you get

10x = 12+2y

10x-12 = 2y

2y = 10x-12

y = (10x-12) / 2

y = 5x-6

The equation 10x-2y = 12 is the same as y = 5x-6.

The system of equations consists of y = 5x+2 and y = 5x-6. Both have the same slope (m = 5) but different y intercepts (2 and - 6). This means the graphed lines will be parallel. Parallel lines never intersect, so there are no solutions. A system is considered inconsistent if it has no solutions.

It's a simultaneous equation because it as two solution