Question

How can i tell that there's multiple solutions?

Answer 1

Try to solve the problem in different ways, if you get the same answer every time then there a multiple solutions, when they teach you those problems in class, pay attention to if they shout you how to solve the problem in different ways.

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Answer 2

• C. infinitely many solutions

Explanation:

We can tell that an equation has multiple/ infinitely many solutions if we try to solve it and get a variable or a number equal to itself.

Let's solve the given equation and see what we'll get :-

`\sf 15-10b-6=-10b+9`

Add 10b to both sides:-

`\sf 15-10b-6+10b=-10b+9+10b`

Simplify:-

`\sf 15-6=9`

Subtract:-

`\sf 15-6=9`

`\sf 9=9`

As we can see, both sides ended up equal, therefore, this equation has infinitely many solutions!

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