Question

1. \\(\frac{2.8 + x}{3.1} = 2.709\\)

Explanation:

Step1: Multiply both sides by 3.1

To eliminate the denominator, we multiply both sides of the equation \(\frac{2.8 + x}{3.1}=2.709\) by 3.1.
\((2.8 + x)=\ 2.709\times3.1\)

Step2: Calculate the right - hand side

First, calculate \(2.709\times3.1\).
\(2.709\times3.1 = 8.3979\)
So the equation becomes \(2.8+x = 8.3979\)

Step3: Solve for x

Subtract 2.8 from both sides of the equation \(2.8+x = 8.3979\) to isolate x.
\(x=8.3979 - 2.8\)
\(x = 5.5979\)

Answer:

\(x = 5.5979\)