Question

What is a estimate of the solution of the equation 6n+3=2? use a table

Answer 1

$\bf \begin{array}{c|ll}\stackrel{x}{n}&\stackrel{y}{6n+3}\\\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\-1&6(-1)+3\\&-3\\\\-\frac{3}{4}&6\left( -\frac{3}{4} \right)+3\\\\&-\frac{3}{2}\\\\-\frac{1}{2}&6\left( -\frac{1}{2} \right)+3\\\\&0\\\\-\frac{1}{3}&6\left( -\frac{1}{3} \right)+3\\\\&1\\\\\boxed{-\frac{1}{6}}&6\left( -\frac{1}{6} \right)+3\\&-\frac{6}{6}+3\\\\&-1+3\\\\&\boxed{2}\\\\0&6(0)+3\\&3\\\\1&6(1)+3\\&9\end{array}$

so as you can see from the table, when n = -⅙, the expression 6n+3 equals 2.