4
−3/4
−4
3\4
7 answers
To solve the equation \(-8x + 13 = -19\), follow these steps:
Subtract 13 from both sides to isolate the term containing \(x\):
\[ -8x + 13 - 13 = -19 - 13 \]
This simplifies to:
\[ -8x = -32 \]
Next, divide both sides by -8 to solve for \(x\):
\[ x = \frac{-32}{-8} \]
This simplifies to:
\[ x = 4 \]
Thus, the solution of the equation is \(x = 4\).
To solve the equation \( 11 - 4x = -9 \), follow these steps:
Start by isolating the term with \( x \). Subtract 11 from both sides:
\[ 11 - 4x - 11 = -9 - 11 \]
This simplifies to:
\[ -4x = -20 \]
Next, divide both sides by -4 to solve for \( x \):
\[ x = \frac{-20}{-4} \]
This simplifies to:
\[ x = 5 \]
Thus, the solution of the equation is \( x = 5 \).
To solve the equation \(\frac{2}{5}x + 4 = \frac{1}{5}\), follow these steps:
Start by isolating the term with \(x\). Subtract 4 from both sides of the equation:
\[ \frac{2}{5}x + 4 - 4 = \frac{1}{5} - 4 \]
\[ \frac{2}{5}x = \frac{1}{5} - \frac{20}{5} \]
\[ \frac{2}{5}x = \frac{1 - 20}{5} = \frac{-19}{5} \]
Next, multiply both sides by the reciprocal of \(\frac{2}{5}\) to solve for \(x\):
\[ x = \frac{-19}{5} \cdot \frac{5}{2} \]
\[ x = \frac{-19 \cdot 1}{2} = \frac{-19}{2} \]
Thus, the solution of the equation is \(x = -\frac{19}{2}\).
To solve the equation \(53 - 2x = 16\), follow these steps:
Start by isolating the term with \(x\). Subtract 53 from both sides of the equation:
\[ 53 - 2x - 53 = 16 - 53 \]
This simplifies to:
\[ -2x = -37 \]
Next, divide both sides by -2 to solve for \(x\):
\[ x = \frac{-37}{-2} \]
Simplifying gives:
\[ x = \frac{37}{2} \]
The value \(\frac{37}{2}\) is not one of the options provided. Thus, we can recheck the calculation for any errors; however, there are no mistakes in the computation, and the solution is indeed \(x = \frac{37}{2}\) or \(18.5\).
It appears that none of the provided options (\(\frac{3}{4}, 3, -\frac{11}{3}, -\frac{11}{12}\)) are correct. Would you like to check for any other values or re-evaluate the question?
