Question

What is the solution set of the given equation?
4y - 6y + 9y = -2

Answer 1

4y - 6y + 9y = -2
-2y + 9y = -2
7y = -2
7 7
y = ⁻²/₇

Answer 2

`y=-(2)/(7)`

Explanation:

Given:
`4y-6y+9y=-2`

To find: The solution set of the equation.

Solution:

We have,
`4y-6y+9y=-2` , and we need to find the solution set.

Now, we know that a solution set is any value of a variable in an equation which satisfies the equation. So, we need to find the value of variable, y in the given equation.

So, we have

`4y-6y+9y=-2`

`\implies 13y-6y=-2`

`\implies 7y=-2`

`y=-(2)/(7)`

Hence, the solution set of the equation is
`y=-(2)/(7)`