Question

Which of the following combined with the equation −9x + 3y = 12 creates a system of linear equations with no solution?

Answer 1

Explanation:

You can't get an exact answer to this because there are no choices.

Add 9x to both sides.

3y = 9x + 12 Divide by 3

3y/3 = 9x/3 + 12/3 Combine

y = 3x + 4

Now to get anything at all that is parallel to this and providing no answer because there is no intersection of the two lines, just change the 4 to something else. Here's one example

y = 3x + 8

As long as the number in front of the x's is the same, they are parallel with no point in common.