Question

HELP ASAP PLEASE!!! Explain how to tell if a point is a solution for a system of equations.

Answer 1

Explanation:

When you put the solution values into each equation, the equation becomes a true statement. If all equations become true statements, the point is a solution to the system.

_____

For example, consider the system of equations ...

• x + y = 6
• x - y = 4

The point (x, y) = (5, 1) is proposed as the solution. When we put those values into the equations, we get ...

  5 + 1 = 6 . . . . . true

  5 - 1 = 4 . . . . . .true

(x, y) = (5, 1) is the solution to this system of equations. (Since it is a system of two independent linear equations in an equal number of unknowns, we know there is only one solution.)