Question

Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.

Answer 1

Infinite solution

Step-by-step explanation: Simplify 2y=6x

This will equal y=3x, which is the same as y=3x.

It's the same line.

Inverse Linear= 1 solution

Parallel= No solution

Same Line= Infinite Solution

Just pick a point on the line and plug it in to see if it's a match.

For instance, (1,3) is a point on the line. Another point is (-1,-3).

3=3(1)

2(3)=6(1)

Answer 2

Explanation:

If you simplify the second solution, you'll see it's equal to the first:

y=3x

2y=6x ; 2y/2 = 6x/2 ; y=3x

Knowing this, there are infinite solutions for this.