Question

Solve the system of equations.If the system has no solution,say that it is inconsistent.

 

Answer 1

Step 1:

The system of equations are and .

Write the above two equations in slope-intercept form , where is slope and is

-intercept.

First equation .

Subtract from each side.

Compare with slope-intercept form.

.

Second equation .

Subtract from each side.

Divide each side by .

Compare with slope-intercept form.

.

Observe the two lines slopes are equal.

Parallel lines slopes are equal to each other and the lines does not intersect.

The lines and are parallel.

This is called inconsistent system of equations, and it has no solution.

Solution:

The system is inconsistent system.