Question

the value of x that satisfies the equation \\(\frac{4}{3} = \frac{x + 10}{15}\\) is

1. \\(-6\\)
2. \\(5\\)
3. \\(10\\)
4. \\(30\\)

Explanation:

Step1: Cross - multiply the equation

To solve the equation \(\frac{4}{3}=\frac{x + 10}{15}\), we use cross - multiplication. Cross - multiplication states that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d=b\times c\). So, we have \(4\times15 = 3\times(x + 10)\).

Step2: Simplify both sides

First, calculate the left - hand side: \(4\times15=60\). Then, the right - hand side: \(3\times(x + 10)=3x+30\). So our equation becomes \(60 = 3x+30\).

Step3: Solve for x

Subtract 30 from both sides of the equation: \(60 - 30=3x+30 - 30\). This simplifies to \(30 = 3x\). Then, divide both sides by 3: \(\frac{30}{3}=\frac{3x}{3}\), which gives \(x = 10\).

Answer:

1. 10