what is the solution to the system of equations?\ny = \\frac{2}{3}x + 3\nx = - 2\n\\( - 2,-\\frac{15}{2}\\)\n…
what is the solution to the system of equations?\ny = \\frac{2}{3}x + 3\nx = - 2\n\\( - 2,-\\frac{15}{2}\\)\n\\( - 2,\\frac{5}{3}\\)\n\\( - 2,\\frac{11}{6}\\)\n\\( - 2,\\frac{13}{3}\\)
Answer
Explanation:
Step1: Substitute x - value
Given $x = - 2$, substitute it into $y=\frac{2}{3}x + 3$. $y=\frac{2}{3}\times(-2)+3$
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 option $\left{-2,\frac{5}{3}\right}$