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To solve the given equation , we will follow these steps:
Step 1: Recognize that implies .
Step 2: Eliminate the fraction by multiplying both sides of the equation by 30.
Step 3: Simplify the equation to solve for .
Now, let's work through each step:
Step 1: The equation is written as .
Step 2: Multiply both sides of the equation by 30 to eliminate the fraction:
This simplifies to:
Step 3: Solve for by dividing both sides by 4:
Therefore, the solution to the problem is .
Checking choices, the correct answer is:
Solve for X:
\( x - 3 + 5 = 8 - 2 \)
The colon (:) represents division or a ratio. So 4x:30 means , not multiplication!
Converting to fraction form makes the equation easier to solve using standard algebraic techniques. You can then multiply both sides to eliminate the denominator.
Not directly! Cross-multiplication works when you have two fractions equal to each other. Here you have , so you can cross-multiply: 4x × 1 = 30 × 2.
Remember: in a:b = c, the 'a' goes on top of the fraction and 'b' goes on the bottom. So 4x:30 = 2 becomes .
Substitute back into the original: . Since this equals 2, your answer is correct!
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