Question

Make sure to show all your work. In each case below, show if the point given is a solution to the system ofequations.Equation One: x + y = 3 .

Equation Two: (y + 2)/2 = xPoint: (1/3, 2)

Answer 1

The point (1/3, 2) does not satisfy either equation in the system (x + y = 3 and (y + 2)/2 = x); therefore, it is not a solution to the system of equations.

Step-by-step explanation:

To determine if the point (1/3, 2) is a solution to the system of equations (x + y = 3 and (y + 2)/2 = x), we need to plug the x-value and the y-value into each equation and see if they satisfy both equations.

First, let's plug x = 1/3 and y = 2 into Equation One:

(1/3) + 2 = 3

5/3 = 3

Since 5/3 is not equal to 3, the point (1/3, 2) does not satisfy the first equation.

Now let's plug x = 1/3 and y = 2 into Equation Two:

(2 + 2)/2 = (1/3)

4/2 = 1/3

2 = 1/3

Again, since 2 is not equal to 1/3, the point (1/3, 2) does not satisfy the second equation either.

Therefore, the point (1/3, 2) is not a solution to the system of equations.