Question

How do you solve `10y+9-2y=8y-30`?

Answer 1

There are no possible solutions for y and the equation cannot be solved. `y` is undefined.

Explanation:

Re-arrange the equation with all the y terms on the left and all the number term on the right:

`10y +9 -2y = 8y-30`

`10y -2y -8y = -30-9`

`color(white)(xxxxxxxxx)0 = -39`

Now we have a strange situation!!

Notice that there is no `y` and the statement is FALSE, because

0 and -39 are NOT equal.

This means that there are no possible solutions for y and the equation cannot be solved.