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.

To determine whether the point $(1,2)$ is a solution to the system of linear equations, we need to substitute the values of $x$ and $y$ into both equations and check if they hold true.<br /><br />Let's start with the first equation: $2x+3y=8$.<br /><br />Substituting $x=1$ and $y=2$, we get:<br /><br />$2(1)+3(2)=8$<br /><br />$2+6=8$<br /><br />$8=8$<br /><br />This equation holds true, so the point $(1,2)$ satisfies the first equation.<br /><br />Now let's move on to the second equation: $3x+y=-2$.<br /><br />Substituting $x=1$ and $y=2$, we get:<br /><br />$3(1)+2=-2$<br /><br />$3+2=-2$<br /><br />$5\neq-2$<br /><br />This equation does not hold true, so the point $(1,2)$ does not satisfy the second equation.<br /><br />Therefore, the correct statement is: The point $(1,2)$ is not a solution to the system of equations because it does not satisfy the equation $3x+y=-2$.