# What is the domain and range of 3y - 1 = 7x +2?

Apr 15, 2018

Domain : $x \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$
Range : $y \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

#### Explanation:

$3 y - 1 = 7 x + 2 \mathmr{and} 3 y = 7 x + 3$ or

$y = \frac{7}{3} x + 1$

Domain : Any real value for $x$ as input

Domain : $x \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

Range : Any real value for $y$ as output

Range : $y \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

graph{7/3 x +1 [-10, 10, -5, 5]}