Question

One equation in a system is y = 2x - 4. Which equation gives the system no solution?

y = 2x - 4

y = 2x + 9

y = 1/4x - 4

y = -2x + 4

Answer 1

`y = 2x + 9`

Explanation:

Step 1: I have to compare the equation given to the equation of a straight line

From the question, we have:

`y = 2x - 4 \\ y = mx + c`

hence m = 2 and c = -4

So, the choice B: y = 2x + 9

Gives : m = 2 and c = 9

Hence since m is the same that is (= 2) and c is different, hence the equation has not solution then.

So, the answer is choice B