How could you check to see if the point (5, 6) is the solution to the Linear System of equations?

Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true.
Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true.

Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true.
Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true.

Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true.
Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true.

Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true.

1 answer

To check if the point (5, 6) is a solution to a linear system of equations, you need to substitute \( x = 5 \) and \( y = 6 \) into both equations of the system.

The correct approach is:

Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true.

This means you will take each equation in the system and check if, when you replace \( x \) with 5 and \( y \) with 6, the equations hold true (i.e., they equal the same value on both sides of the equation). If both equations are satisfied, then (5, 6) is indeed a solution to the system.