What is the solution to the system of equations? y=2/3x+3 x=-2
We are going to solve for x=-2, y=2/3x+3, y=2/3(-2)+3, y=5/3. Therefore, x=-2 and y=5/3
Answer:
\(x=-2,y=\frac{5}{3}\)
Step-by-step explanation:
The given system of equations is
\(y=\frac{2}{3}x+3...(i)\\\\x=-2...(ii)\)
Plugging the value of x from (ii) in equation (i) and find the value of y
\(y=\frac{2}{3}\times(-2)+3\\\\y=\frac{-4}{3}+3\\\\y=\frac{5}{3}\)
Therefore, the solution of the system of equations is
\(x=-2,y=\frac{5}{3}\)