Question

How do you solve `10y + 9- 2y = 8y - 3`?

Answer 1

There is no solution.

Explanation:

We have the equation `10y+9-2y=8y-3`

Add `3` on both sides.

`10y+9-2y+color(red)3=8y-3+color(red)3`

`10y-2y+12=8y`

`8y+12=8y`

Subtract `8y` from both sides.

`8y+12-color(red)(8y)=8y-color(red)(8y)`

`12=0`

As we know `12!=0`

Therefore there is no solution for this equation.

Answer 2

`"Undefined or Inconsistent Equation"`

Explanation:

`10y + 9 - 2y = 8y - 3`

Simplify..

`10y - 2y + 9 = 8y - 3`

`8y + 9 = 8y - 3`

Collect like terms..

`8y - 8y = - 3 - 9`

`0 = - 12`

Hence this is an `"Undefined or Inconsistent Equation"`