Rewrite the equation 5/b=10 as two equations joined by “and.”(1 point) 5/b=10 and b≠

Answer 1

The equation \( \frac{5}{b} = 10 \) can be rewritten as two equations joined by "and" as follows:

\( 5/b = 10 \) and \( b \neq 0 \).

Answer 2

What value will complete the set of equations 15/3x−9−4=12 and x≠ _____?(1 point)

The value that completes the set of equations is x≠ ()

Answer 3

To determine the value that completes the set of equations for \( 15/(3x - 9) - 4 = 12 \), we first solve the equation.

1. Start by isolating the fraction: \[ \frac{15}{3x - 9} - 4 = 12 \] Add \( 4 \) to both sides: \[ \frac{15}{3x - 9} = 16 \]

2. Next, multiply both sides by \( 3x - 9 \) to eliminate the fraction (noting that \( 3x - 9 \neq 0 \)): \[ 15 = 16(3x - 9) \] Simplifying the right side: \[ 15 = 48x - 144 \]

3. Rearranging to solve for \( x \): \[ 48x = 15 + 144 \] \[ 48x = 159 \] \[ x = \frac{159}{48} \]

4. We also need to determine when \( 3x - 9 = 0 \) to find values to avoid: \[ 3x - 9 = 0 \implies 3x = 9 \implies x = 3 \]

Thus, the value that completes the set of equations is \( x \neq 3 \).

The final answer is: \( x \neq 3 \)

Answer 4

What is the undefined value for 22=4+5x/9x−6 ? Write your answer in reduced fraction form, if applicable. (1 point)

The undefined value is()

Answer 5

To find the undefined value for the equation

\[ 22 = \frac{4 + 5x}{9x - 6} \]

we should identify when the denominator is equal to zero, as this would make the expression undefined.

Set the denominator equal to zero:

\[ 9x - 6 = 0 \]

Now, solve for \( x \):

\[ 9x = 6 \] \[ x = \frac{6}{9} \]

Now, simplify the fraction:

\[ x = \frac{2}{3} \]

Therefore, the undefined value is

\[ \frac{2}{3} \]

Thus, the final answer is:

The undefined value is \( \frac{2}{3} \).

Answer 6

Solve for x in the following equation: 1x+4=2 . Write your answer in reduced fraction form, if applicable.(1 point)

x=()

Answer 7

To solve the equation \( 1x + 4 = 2 \), we can simplify it as follows:

1. Subtract \( 4 \) from both sides: \[ 1x = 2 - 4 \] \[ 1x = -2 \]

2. Divide both sides by \( 1 \): \[ x = -2 \]

Thus, the solution for \( x \) is:

\[ x = -2 \]

Answer 8

Solve for x in the following equation: 1/x+4=2 . Write your answer in reduced fraction form, if applicable.(1 point)

x=()

Answer 9

To solve the equation

\[ \frac{1}{x} + 4 = 2, \]

follow these steps:

1. Subtract \( 4 \) from both sides: \[ \frac{1}{x} = 2 - 4 \] \[ \frac{1}{x} = -2. \]

2. Now, take the reciprocal of both sides to solve for \( x \): \[ x = \frac{1}{-2} = -\frac{1}{2}. \]

Therefore, the solution for \( x \) is:

\[ x = -\frac{1}{2}. \]

Answer 10

What is the value of the variable p in the given equation? 17/p+4=55 Write your answer in reduced fraction form, if applicable. (1 point)

p=()

Answer 11

To solve the equation

\[ \frac{17}{p} + 4 = 55, \]

follow these steps:

1. Subtract \( 4 \) from both sides: \[ \frac{17}{p} = 55 - 4 \] \[ \frac{17}{p} = 51. \]

2. Now, multiply both sides by \( p \) to eliminate the fraction: \[ 17 = 51p. \]

3. Next, divide both sides by \( 51 \) to solve for \( p \): \[ p = \frac{17}{51}. \]

4. Now, simplify the fraction: \[ p = \frac{1}{3} \quad \text{(since both 17 and 51 can be divided by 17)}. \]

Thus, the value of \( p \) is

\[ p = \frac{1}{3}. \]