Consider the system of linear equations 2x + 3y = 8 and 3x + y = –2. Which statement is correct? The point (1, 2) is not a solution to the system of equations because it satisfies neither equation.
The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
The point (1, 2) is a solution to the system of equations because it satisfies the equation 2x + 3y = 8.
The point (1, 2) is a solution to the system of equations because it satisfies both equations.

The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.

Step-by-step explanation:

System of Equations

Consider the following system of equations

2x + 3y = 8      [1]

3x + y = -2       [2]

And the point (1,2). Substituting in both equations:

For equation [1]:

2*1 + 3*2 = 8

2 + 6 = 8

8 = 8

Since the equation is true, point (1,2) satisfies the equation 2x + 3y = 8

Now for equation [2]:

3*1 + 2 = -2

3 + 2 = -2

5 = -2

Since this equation is false, point (1,2) does not satisfy the equation 3x + y = -2

The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.