Question

Is the system of equations is consistent, consistent and coincident, or inconsistent?

y=−3x+1
2y=−6x+2

Answer 1

Coincident hope this helps

Answer 2

To determine which among the given choices best fit as the description of the equations of the line, we determine the relationship between their slopes. In a slope-intercept form of the line such as,

y = mx + b

m is the slope.

The value of the slope of the first equation is -3 and that of the second equation is also -3. Then, we look into their y-intercept, b.

The y-intercept ofhte first equation is 1 and that of the second equation is also 1. Since both lines have the same slope and y-intercept, they are said to be COINCIDENT.