What is the solution of the equation −8x+13=−19 ?(1 point)

Responses

3/4
Start Fraction 3 over 4 End Fraction

−4
negative 4

4
4

−3/4

7 answers

To solve the equation \( -8x + 13 = -19 \), follow these steps:

  1. Subtract 13 from both sides: \[ -8x + 13 - 13 = -19 - 13 \] \[ -8x = -32 \]

  2. Divide both sides by -8: \[ x = \frac{-32}{-8} \] \[ x = 4 \]

Therefore, the solution to the equation \( -8x + 13 = -19 \) is \( 4 \).

The correct response is: 4

What is the solution of the equation 11−4x=−9 ?(1 point)
Responses

1/2
Start Fraction 1 over 2 End Fraction

5
5

−1/2
negative Start Fraction 1 over 2 End Fraction

−5

To solve the equation \( 11 - 4x = -9 \), follow these steps:

  1. Subtract 11 from both sides: \[ 11 - 4x - 11 = -9 - 11 \] \[ -4x = -20 \]

  2. Divide both sides by -4: \[ x = \frac{-20}{-4} \] \[ x = 5 \]

Therefore, the solution to the equation \( 11 - 4x = -9 \) is \( 5 \).

The correct response is: 5

What is the solution of the equation 2/5x+4=1/5?(1 point)
Responses

−2/19
negative Start Fraction 2 over 19 End Fraction

2/12
Start Fraction 21 over 2 End Fraction

−38/25
negative Start Fraction 38 over 25 End Fraction

−19/2

To solve the equation \( \frac{2}{5}x + 4 = \frac{1}{5} \), follow these steps:

  1. Subtract \( 4 \) from both sides: \[ \frac{2}{5}x + 4 - 4 = \frac{1}{5} - 4 \] \[ \frac{2}{5}x = \frac{1}{5} - \frac{20}{5} \] \[ \frac{2}{5}x = \frac{1 - 20}{5} \] \[ \frac{2}{5}x = \frac{-19}{5} \]

  2. Multiply both sides by \( \frac{5}{2} \) to isolate \( x \): \[ x = \frac{-19}{5} \cdot \frac{5}{2} \] \[ x = \frac{-19 \cdot 5}{5 \cdot 2} \] \[ x = \frac{-19}{2} \]

Thus, the solution to the equation \( \frac{2}{5}x + 4 = \frac{1}{5} \) is \( -\frac{19}{2} \).

The correct response is: −19/2

What is the solution of the equation 53−2x=16 ?(1 point)
Responses

3
3

−1112
negative Start Fraction 11 over 12 End Fraction

34
Start Fraction 3 over 4 End Fraction

−113

To solve the equation \( 53 - 2x = 16 \), follow these steps:

  1. Subtract \( 53 \) from both sides: \[ 53 - 2x - 53 = 16 - 53 \] \[ -2x = -37 \]

  2. Divide both sides by \( -2 \): \[ x = \frac{-37}{-2} \] \[ x = \frac{37}{2} \] or \( 18.5 \).

None of the provided responses match the answer \( \frac{37}{2} \) or \( 18.5 \). However, if you are looking for integer or simple fractional values only, please let me know so I can clarify or help further!

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