For each value of y, determine whether it is a solution to - 21=6y-9. A - 5, B 3, C - 2, D 9

Option C

For each value of y, - 2 is a solution of - 21 = 6y - 9

Solution:

Given, equation is - 21 = 6y - 9

We have to find that whether given set of options can satisfy the above equation or not

Now, let us check one by one option

Option A)

Given option is - 5

Let us substitute - 5 in given equation

- 21 = 6 (-5) - 9

- 21 = - 30 - 9

- 21 = - 39

L. H. S ≠ R. H. S ⇒ not a solution

Option B)

Given option is 3

- 21 = 6 (3) - 9

- 21 = 18 - 9

- 21 = 9

L. H. S ≠ R. H. S ⇒ not a solution

Option C)

Given option is - 2

- 21 = 6 (-2) - 9

- 21 = - 12 - 9

- 21 = - 21

L. H. S = R. H. S ⇒ yes a solution

Option D)

- 21 = 6 (9) - 9

- 21 = 54 - 9

- 21 = 45

L. H. S ≠ R. H. S ⇒ not a solution

Hence, the solution for the given equation is - 2, so option c is correct