Question

Describe a "legal move" when you are solving an equation.

Answer 1

Ok, let me start by taking an equation in one variable

`1. 2x + 6 = 8</p><p>2. 3x +7 = 8(x-3)`

Now , If we multiply by any integer on both side of the equation ,the solution of the equation does not change.

Now consider equation in two variable
`2x + 3y = 5</p><p>3x + 2y = 5`

now if you multiply by any integer on both side of the equation, we are not getting solution of the equation but it maintains the equality on both sides.

So, finally the meaning of legal move is that we are not getting the solution of linear equation by multiplying with any integer it just maintains the balance on both side without affecting the answer.