Q 2. Which value is a solution of the equation 4 - 2x = 8? (1 point)
0 2
0 -2
0 1/2
O -1/2
To find the solution for the equation 4 - 2x = 8, we need to solve for x.
Subtracting 4 from both sides of the equation gives us:
-2x = 4
Dividing both sides of the equation by -2 gives us:
x = -2
Therefore, the value -2 is a solution of the equation 4 - 2x = 8.
To find which value is a solution of the equation 4 - 2x = 8, we need to solve the equation and see which answer choice satisfies it.
Step 1: Start with the equation 4 - 2x = 8.
Step 2: Subtract 4 from both sides of the equation to isolate the variable:
4 - 4 - 2x = 8 - 4
-2x = 4
Step 3: Divide both sides of the equation by -2 to solve for x:
x = 4 / -2
x = -2
Now, let's check the answer choices to see which value satisfies the equation:
- Answer choice 0: 4 - 2(0) = 4 - 0 = 4, which is not equal to 8.
- Answer choice 2: 4 - 2(2) = 4 - 4 = 0, which is not equal to 8.
- Answer choice -2: 4 - 2(-2) = 4 + 4 = 8, which is equal to 8.
- Answer choice 1/2: 4 - 2(1/2) = 4 - 1 = 3, which is not equal to 8.
- Answer choice -1/2: 4 - 2(-1/2) = 4 + 1 = 5, which is not equal to 8.
Hence, the value -2 is the solution of the equation 4 - 2x = 8.
To determine which value is a solution of the equation 4 - 2x = 8, we need to solve the equation by isolating x. Here's how you can do it:
Step 1: Begin with the equation 4 - 2x = 8.
Step 2: To isolate the term with x, subtract 4 from both sides of the equation:
4 - 4 - 2x = 8 - 4
-2x = 4
Step 3: Divide both sides of the equation by -2 to solve for x:
-2x / -2 = 4 / -2
x = -2
Now that we have found the value of x, we can check if it is a solution of the equation 4 - 2x = 8 by substituting it back into the original equation.
Substituting x = -2 into the equation:
4 - 2(-2) = 8 becomes
4 + 4 = 8
The left side of the equation simplifies to 8, which is equal to the right side of the equation. Therefore, x = -2 is a solution of the equation.
So, the correct answer is: O (-2), as it is the value that satisfies the equation 4 - 2x = 8.