Give a brief explanation or miniproof In solving a system of

Give a brief explanation or “mini-proof.”

In solving a system of linear equations, it is permissible to add any multiple of one equation to another(True)

Solution

In solving a system of linear equations, it is permissible to add any multiple of one equation to another.

Reason:

It\'s is permissible, because this is invertible. Means that if we add any multiple of one equation to another equation, then we can get the same linear equation by subtracting with same multiple.

So adding or multiplying any multiple does not change our basic linear equations, we can get them back by subtracting or dividing same with same multiple.