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2 years ago

9

Determine ig the following has no solutions, infinite solutions, or one solution

1 answer:

Stella [2.4K]2 years ago

3 0

We can use substitution or elimination
Let’s use substitution
Make slope intercept equation for the first equation
Y = -x + 5
Now plug in the y value for the second equation
-5x - 4(-x + 5) = -18
-5x + 4x - 20 = -18
-1x = 2, x = -2

There is one solution

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Option D:

$\{x: x \neq 1\}$ is the domain of the function.

Solution:

Given function is

$$r(x)=\frac{2 x}{x-1}$

<u>To find the domain of the function:</u>

Option A: $\{x: x \neq 0\}$

Substitute x = 0 in r(x).

$$r(0)=\frac{2 \times 0}{0-1}=0$

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

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Option B: $\{x: x \neq \pm 1\}$

Substitute x = –1 in r(x).

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So, $\{x: x \neq \pm 1\}$ is not the domain of the function.

Option C: $\{x: \text { all real numbers }\}$

Substitute x = 1 in r(x).

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It is indeterminate.

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Substitute x = 1 in r(x).

$$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}$

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