Question

lesson 2.5 review - solving rational equations
① \\(\frac{x}{(x + 1)} + \frac{3x + 4}{(x + 1)} = \frac{3}{1}(x + 1)\\)
① factor, lcm (lcd)
\\(x + 3x + 4 = 3(x + 1)\\)
\\(4x + 4 = 3x + 3\\)
\\(-3x -3x\\)
\\(x + 4 = 3\\)
\\(-4 -4\\)
\\(x = -1\\)
check
\\(\frac{x}{x + 1} = \frac{-1}{-1 + 1} = \frac{-1}{0}\\)
multiple - choice question
what happens when you try to divide -1 by 0? (put it in your calculator and see what it says.)

• the calculator will give you an error because dividing by 0 is undefined.
• the calculator will give you 0.
• the calculator will give you -1.

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Explanation:

In mathematics, division by zero is an undefined operation. When you try to divide -1 by 0, calculators recognize that dividing by zero is not a valid mathematical operation and will return an error. The other options are incorrect because dividing by zero does not result in 0 or -1.

Answer:

The calculator will give you an error because dividing by 0 is undefined.