A linear equation that has two variables and the power of each variable is \(1\).

Determine whether \(\dfrac{m}{5}+7=12n\) is a linear equation in two variables.

\(\dfrac{m}{5}+7=12n\) is a linear equation in two variables.

This is because the equation has two variables, \(m\) and \(n\), and the power of each variable is \(1\).

The difference between two numbers is \(27\).

Let the two numbers be \(r\) and \(s\) respectively.

The linear equation is

\(r-s=27\).

State three possible pairs of solutions for \(y=1-2x\).

When \(x=0\),

\(\begin{aligned} y&=1-2(0) \\\\&=1. \end{aligned}\)

When \(x=1\),

\(\begin{aligned} y&=1-2(1) \\\\&=-1. \end{aligned}\)

When \(x=2\),

\(\begin{aligned} y&=1-2(2) \\\\&=-3. \end{aligned}\)

Thus, three possible pairs of solutions are

\(x=0, y=1; x=1, y=-1,\) and \(x=2; y=-3.\)