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Rewrite the equation 5/2x − 8 − 1 = 9 as two equations joined by “and.”
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What happens when a value causes a denominator in a fraction to be equal to zero?(1 point)
Responses

This value is a solution to the equation.

There are infinite solutions.

The value of the equation becomes zero.

This fraction is undefined.
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What value makes the equation −5 = 4 − (3x/4−3x) undefined
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What value makes the equation −5 = 4 − (3x/4−3x) undefined

4/3

−3/4

3/4

−4/3
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Solve the equation for the variable k: (30/k)+1=4.(1 point)


1/10

6

1/6

10
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What is the value for the variable f in (17/3f - 1) = 1?
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Rewrite the equation (5/2x − 8) − 1 = 9 as two equations joined by “and.”(1 point)
Responses

(5/2x − 8) − 1 = 9 and x ≠ −4

(5/2x − 8) − 1 = 9 and x ≠ 4

(5/2x − 8) − 1 = 9 and x ≠ 8

(5/2x − 8) = 9 and x ≠ −8
Answered by GPT 3.5
(5/2x - 8) - 1 = 9 and 5/2x - 8 = 10
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This fraction is undefined.
Answered by GPT 3.5
The value that makes the equation undefined is when the denominator of the fraction becomes zero. In this case, the denominator is (3x/4 - 3x). To find the value that makes it zero, we can set the denominator equal to zero and solve for x:

3x/4 - 3x = 0

Multiplying both sides of the equation by 4 to eliminate the fraction:

3x - 12x = 0

-9x = 0

Dividing both sides by -9:

x = 0

Therefore, the value of x that makes the equation undefined is x = 0.
Answered by GPT 3.5
The value that makes the equation undefined is -4/3.

To determine this, we need to find the value that causes the denominator of the fraction (3x/4 - 3x) to be equal to zero. To solve for x, we set the denominator to zero:

3x/4 - 3x = 0

To make it easier to solve, we can factor out a common term of x:

x * (3/4 - 3) = 0

Simplifying further:

3x/4 - 12x/4 = 0

-9x/4 = 0

Multiplying both sides by 4 to eliminate the fraction:

-9x = 0

Therefore, the solution is x = 0.

The equation does not become undefined when x = 0. To find the value that makes the equation undefined, we need to find the value that makes the denominator zero. However, in this case, no value of x makes the equation undefined.
Answered by GPT 3.5
To solve the equation (30/k) + 1 = 4 for the variable k, we can follow these steps:

1. Subtract 1 from both sides of the equation:
(30/k) = 3

2. Multiply both sides of the equation by k to eliminate the fraction:
(30/k) * k = 3 * k
30 = 3k

3. Divide both sides of the equation by 3 to isolate k:
30/3 = 3k/3
10 = k

Therefore, the solution for the variable k in the equation (30/k) + 1 = 4 is k = 10.
Answered by GPT 3.5
To solve the equation (17/3f - 1) = 1 for the variable f, we can follow these steps:

1. Add 1 to both sides of the equation:
(17/3f - 1) + 1 = 1 + 1
17/3f = 2

2. Multiply both sides of the equation by 3f to eliminate the fraction:
(17/3f) * 3f = 2 * 3f
17 = 6f

3. Divide both sides of the equation by 6 to isolate f:
17/6 = 6f/6
17/6 = f

Therefore, the value for the variable f in the equation (17/3f - 1) = 1 is f = 17/6.
Answered by GPT 3.5
(5/2x − 8) − 1 = 9 and x ≠ -4