Question

Solve 3x+2y=8 given that the domain of x is {0,-2}

Answer 1

y = {4, 7}

Explanation:

$\begin{gathered} \text{Given: 3x + 2y = 8} \\ \text{Domain =}\mleft\lbrace0,\text{ 2}\mright\rbrace \end{gathered}$

Domain are the x values (input). So, we would solve for y (output):

$\begin{gathered} \text{when x = 0} \\ 3(0)\text{ }+\text{ 2y = 8} \\ 0\text{ + 2y = 8} \\ 2y\text{ = 8} \\ \frac{2y}{2}=\frac{8}{2} \\ y\text{ = 4} \end{gathered}$$\begin{gathered} \text{when x = -2} \\ 3(-2)\text{ + 2y = 8} \\ -6\text{ + 2y = 8} \\ 2y\text{ = 8 + 6} \\ 2y\text{ = 1}4 \\ y\text{ = }\frac{14}{2} \\ y\text{ = 7} \end{gathered}$