Question

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 Sxy=-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

Answer 1

The point (1,2) is a solution to the system of equations because it satisfies both equations.

Step-by-step explanation:

The point (1,2) is a solution to the system of equations because it satisfies both equations.

To find out if a point is a solution to a system of linear equations, we substitute the values of the point into each equation and check if both equations are satisfied.

So, for the point (1,2), we substitute x = 1 and y = 2 into the first equation:

2(1) + 3(2) = 2 + 6 = 8

This is true. Now, we substitute x = 1 and y = 2 into the second equation:

3(1) + 2 = 3 + 2 = 5

This is not true. Therefore, the point (1,2) is not a solution to the system of equations because it does not satisfy the second equation.

Answer 2

The point (1.2) is not a solution to the system of equations because it satisfies neither equation

Step-by-step explanation:

if a given point is a solution of a system of equation that point must satisfy every equation at the same time

If we evaluate the point in one of the equations of the system only satisfy one of them