Answer:
[tex]y=-\frac{2}{7}[/tex]
Step-by-step explanation:
Given: [tex]4y-6y+9y=-2[/tex]
To find: The solution set of the equation.
Solution:
We have, [tex]4y-6y+9y=-2[/tex] , 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
[tex]4y-6y+9y=-2[/tex]
[tex]\implies 13y-6y=-2[/tex]
[tex]\implies 7y=-2[/tex]
[tex]y=-\frac{2}{7}[/tex]
Hence, the solution set of the equation is [tex]y=-\frac{2}{7}[/tex]
