Which value is a solution of the equation 5 – 4x = –3?
responses
A. -3
B. 0
C. 2
D. 1/4
The value that is a solution of the equation 5 - 4x = -3 is A. -3.
To find the solution of the equation 5 - 4x = -3, we need to isolate the variable, x.
Step 1: Subtract 5 from both sides of the equation:
5 - 4x - 5 = -3 - 5
-4x = -8
Step 2: Divide both sides of the equation by -4 to solve for x:
-4x / -4 = -8 / -4
x = 2
Therefore, the value that is a solution of the equation 5 - 4x = -3 is C. 2.
To find the solution of the equation 5 – 4x = –3, we need to solve for x.
Let's go step by step:
Step 1: Start with the given equation: 5 – 4x = –3
Step 2: Subtract 5 from both sides of the equation to isolate the term with x:
5 – 4x - 5 = –3 - 5
-4x = -8
Step 3: Divide both sides of the equation by -4 to solve for x:
(-4x)/(-4) = (-8)/(-4)
x = 2
So the solution to the equation 5 – 4x = –3 is x = 2.
Now let's check the given options to see which one is equal to x = 2:
A. -3: The value -3 is not equal to 2.
B. 0: The value 0 is not equal to 2.
C. 2: The value 2 is equal to 2. So, option C is a solution to the equation.
D. 1/4: The value 1/4 is not equal to 2.
Therefore, the value that is a solution of the equation 5 – 4x = –3 is x = 2, which corresponds to option C.