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:
Subtract 13 from both sides: \[ -8x + 13 - 13 = -19 - 13 \] \[ -8x = -32 \]
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
To solve the equation \( 11 - 4x = -9 \), follow these steps:
Subtract 11 from both sides: \[ 11 - 4x - 11 = -9 - 11 \] \[ -4x = -20 \]
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
To solve the equation \( \frac{2}{5}x + 4 = \frac{1}{5} \), follow these steps:
Subtract \( 4 \) from both sides: \[ \frac{2}{5}x + 4 - 4 = \frac{1}{5} - 4 \] \[ \frac{2}{5}x = \frac{1}{5} - \frac{20}{5} \] \[ \frac{2}{5}x = \frac{1 - 20}{5} \] \[ \frac{2}{5}x = \frac{-19}{5} \]
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
To solve the equation \( 53 - 2x = 16 \), follow these steps:
Subtract \( 53 \) from both sides: \[ 53 - 2x - 53 = 16 - 53 \] \[ -2x = -37 \]
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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