Question

No solutions which one? This is well worth your time please assist.

Answer 1

• Option B

Explanation:

• A linear system has no solution if both lines are parallel.
• It is when the lines have same slope but different y-intercepts.

Review the options

1. Option A.

If you double the first equation, then it will be exact copy of the second one. It means the lines overlap, and there are infinitely many solutions.

• No

2. Option B

Both the x and y have same coefficients, it means the slopes are same. The y-intercepts are different, so the lines are parallel and no solution.

• Yes

3. Option C

Multiply one of the equations by -1 to get exact same of the other equation. Same as option A, infinitely many solutions.

• No

4. Option D

Multiply the send equation by 6 and we'll have different slopes and y-intercepts. It means the lines intersect at one point so there is one solution.

• No