−4x+11=41
Responses
x=−152
x is equal to negative 15 halves
x=−15
, x is equal to negative 15
x=2
, x is equal to 2
x=152
, x is equal to 15 halves
The correct response is x = -15.
To solve the equation -4x + 11 = 41 step-by-step, follow these steps:
1. Start with the original equation: -4x + 11 = 41.
2. Subtract 11 from both sides of the equation to isolate the -4x term: -4x = 41 - 11.
Simplify the right side of the equation: -4x = 30.
3. Divide both sides of the equation by -4 to solve for x:
x = 30 / -4.
4. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
x = 15 / -2.
5. Express the fraction as decimal:
x = -15 / 2 = -7.5.
Therefore, the solution to the equation -4x + 11 = 41 is x = -7.5.
To solve the equation −4x + 11 = 41, we need to isolate the variable x. Here are the steps to do that:
Step 1: Subtract 11 from both sides of the equation.
−4x + 11 - 11 = 41 - 11
−4x = 30
Step 2: Divide both sides of the equation by -4 to solve for x.
−4x / -4 = 30 / -4
x = -30 / 4
x = -15/2
So, the answer to the equation −4x + 11 = 41 is x = -15/2, which means x is equal to negative 15 halves.