Verified Answer :

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

aachen

Answer:

\(y=-\frac{2}{7}\)

Step-by-step 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

\(4y-6y+9y=-2\)

\(\implies 13y-6y=-2\)

\(\implies 7y=-2\)

\(y=-\frac{2}{7}\)

Hence, the solution set of the equation is \(y=-\frac{2}{7}\)