what is the solution to the system of equations?\ny = \\frac{2}{3}x + 3\nx = - 2\no (-2, -\\frac{15}{2})\no…

what is the solution to the system of equations?\ny = \\frac{2}{3}x + 3\nx = - 2\no (-2, -\\frac{15}{2})\no (-2, \\frac{5}{3})\no (-2, \\frac{11}{6})\no (-2, \\frac{13}{3})

what is the solution to the system of equations?\ny = \\frac{2}{3}x + 3\nx = - 2\no (-2, -\\frac{15}{2})\no (-2, \\frac{5}{3})\no (-2, \\frac{11}{6})\no (-2, \\frac{13}{3})

Answer

Explanation:

Step1: Substitute x - value

Given $x=-2$, substitute it into $y = \frac{2}{3}x + 3$. So $y=\frac{2}{3}\times(-2)+3$.

Step2: Calculate y - value

First, calculate $\frac{2}{3}\times(-2)=-\frac{4}{3}$. Then $y =-\frac{4}{3}+3$. Rewrite 3 as $\frac{9}{3}$, so $y=-\frac{4}{3}+\frac{9}{3}=\frac{-4 + 9}{3}=\frac{5}{3}$.

Answer:

$(-2,\frac{5}{3})$ which corresponds to the second option. So the answer is B. $(-2,\frac{5}{3})$