High School

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------------------------------------------------ What is the value of \( x \)?

1. \(\frac{x}{6} = \frac{8}{12}\)
2. \(\frac{12x}{122} = \frac{48}{12}\)

Solve for \( x \).

Answer :

To find the value of x given the equation x/6 = 8/12, we cross multiply and simplify to find that x = 4.

To solve for x when given that x/6 = 8/12, we first need to cross multiply to eliminate the fractions. Multiplying both sides of the equation by 6, we get x = (8/12) * 6. Simplifying 8/12 gives us 2/3, and multiplying 2/3 by 6 results in 4. Therefore, x = 4.

In the example of 12x/122 = 48/12, first simplify the fractions, after which we would normally solve for x by performing algebraic manipulations on the equation. However, it seems that the formula provided contains a typo, as 122 does not simplify or cancel out easily within the context of this equation.

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