Question

What is the solution to the system of equations? y=2/3x+3 x=-2

Answer 1

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 2

`x=-2,y=(5)/(3)`

Explanation:

The given system of equations is

`y=(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=(2)/(3)*(-2)+3\\\\y=(-4)/(3)+3\\\\y=(5)/(3)`

Therefore, the solution of the system of equations is

`x=-2,y=(5)/(3)`