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.
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<em>For example</em>, consider the system of equations ...
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.)
