Question

How could you change the equation from Part B so it has infinitely many solutions? What would infinitely many solutions mean in terms of the situation?

Answer 1

Answer:

We do not have the equation for the part B, so we can not aswer it correctly.

But i will give a general answer.

We could have infinite answers always when we have more variables than linear independent equations:

This is, if we have one variable, x, we can have infinite solutions if we have no equations (or equations with no restrictions for our variable)

So if we have an equation like:

x*4 = √16*x

you can see that both sides of the equation are exactly the same, so this equation actually does not have any value, and x could take infinite different values and the equation will remain true.

If we have two variables, x and y, we will have infinite solutions if we have only one equation:

y = a*x + b

We have infinite pairs (x, y)