Question

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

Answer 1

`\bf \begin{array}c\stackrel{x}{n}&\stackrel{y}{6n+3}\\\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\-1&6(-1)+3\\&-3\\\\-(3)/(4)&6\left( -(3)/(4) \right)+3\\\\&-(3)/(2)\\\\-(1)/(2)&6\left( -(1)/(2) \right)+3\\\\&0\\\\-(1)/(3)&6\left( -(1)/(3) \right)+3\\\\&1\\\\\boxed{-(1)/(6)}&6\left( -(1)/(6) \right)+3\\&-(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.