Question

For each equation, find a value for x that makes the equation true.
4/3x = 10/3

Answer 1

To solve 4/3x = 10/3 for x, one would typically clear the fraction and isolate x. However, following the standard process leads to a contradiction, indicating a possible typo in the given equation or a misunderstanding.

Step-by-step explanation:

The student needs to find a value for x that makes the equation 4/3x = 10/3 true. To solve for x, we should rearrange the equation and isolate the variable x on one side. The solution starts with multiplying both sides by 3x/4 to cancel out the fraction on the left side.

Here is the step-by-step breakdown:

1. Multiply both sides of the equation by 3x/4: (3x/4) * (4/3x) = (3x/4) * (10/3).
2. Simplify both sides: x = 30x/12.
3. Divide both sides by x (assuming x is not 0): 1 = 30/12.
4. Reduce the fraction on the right side: 1 = 5/2. However, this is not true for any value of x, indicating there might be a typo in the original equation or a misunderstanding.