IF 5X=30. THEN X IS EQUAL TO: A. 150 B. 25 C. 6 D. 0.6
The correct answer and explanation is:
To solve the equation:
5X = 30
We want to find the value of X.
Step-by-Step Solution:
The equation 5X = 30 means:
5 multiplied by some number X gives 30.
To isolate X, we divide both sides of the equation by 5: 5X5=305\frac{5X}{5} = \frac{30}{5} X=6X = 6
Correct Answer:
C. 6
Explanation (300 words):
In mathematics, solving for a variable in an equation means finding the number that makes the equation true. In this case, we are given a linear equation in one variable: 5X=305X = 30
This is a multiplication equation, which means one number (X) is multiplied by another (5), resulting in 30. To solve for X, you perform the inverse operation of multiplication, which is division.
By dividing both sides of the equation by 5 (the coefficient of X), we isolate the variable: 5X÷5=30÷5⇒X=65X ÷ 5 = 30 ÷ 5 \Rightarrow X = 6
Once we solve for X, it’s good practice to check the solution by plugging it back into the original equation: 5×6=30✔®5 × 6 = 30 \quad ✔️
That confirms our answer is correct.
Now, let’s look at the other options and why they are incorrect:
- A. 150 – That would be the result of 5 × 30, not solving for X.
- B. 25 – 5 × 25 = 125, which is far off.
- D. 0.6 – 5 × 0.6 = 3, not 30.
So, none of these values satisfy the equation except for 6.
Understanding how to isolate a variable is a fundamental skill in algebra and helps solve more complex equations in future math topics.