What is the solution to the system of equations?y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3. x equals negative 2.x + 3x = –2(negative 2, negative StartFraction 15 over 2 EndFraction)(negative 2, StartFraction 5 over 3 EndFraction) (negative 2, StartFraction 11 over 6 EndFraction) (negative 2, StartFraction 13 over 3 EndFraction)
Accepted Solution
A:
Answer:[tex](-2,\frac{5}{3})[/tex]Step-by-step explanation:Given:The system of equations given are:[tex]y=\frac{2}{3}x+3\\x=-2[/tex]Plug in [tex]x=-2[/tex] in the first equation and solve for [tex]y[/tex].[tex]y=\frac{2}{3}(-2)+3\\y=\frac{-4}{3}+3\\y=\frac{-4}{3}+\frac{9}{3}\\y=\frac{-4+9}{3}=\frac{5}{3}[/tex]Therefore, the solution is [tex](x,y)=(-2,\frac{5}{3})[/tex]