What is the solution of the equation 11−4x=−9

?(1 point)
Responses

1/2
Start Fraction 1 over 2 End Fraction

−5
negative 5

5
5

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

1 answer

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

  1. Isolate the variable term: Start by subtracting 11 from both sides:

    \[ 11 - 4x - 11 = -9 - 11 \]

    This simplifies to:

    \[ -4x = -20 \]

  2. Divide by -4: To solve for \( x \), divide both sides by -4:

    \[ x = \frac{-20}{-4} = 5 \]

Thus, the solution of the equation \( 11 - 4x = -9 \) is:

\[ \boxed{5} \]