Question

Select the type of equations

Answer 1

1. consistent

2. consistent

3. consistent

4. inconsistent

5. (5,3)

Explanation:

Inconsistent : If two lines are parallel, then the they are inconsistent and inconsistent line have no solution.

Equivalent : If lines represents the same line, then they are equivalent.

Consistent : If two line are neither parallel nor equivalent, then they are consistent.

In graph 1, both lines are different and non parallel, so they are consistent.

In graph 2, both lines are different and non parallel, so they are consistent.

In graph 3, both lines are different and non parallel, so they are consistent.

In graph 4, both lines parallel, so they are inconsistent.

In graph 5, both lines intersect each other at (5,3), so solution set is (5,3).

Answer 2

Two lines are "inconsistent" if they are parallel. They are "equivalent" if they are the same line. Otherwise, they are "consistent."

Your first 3 graphs show "consistent" equations.

The 4th graph shows "inconsistent" equations.

The solution shown on the 5th graph is where the lines intersect, near point
(5, 3)