Question

Is the order pair (3,-4) a solution of the system of linear equations x+y=1 and -6x-3y=-3

Answer 1

↝ A single coordinate point must make both equations true in order for the point to be a solution.

Substitute x = 3 and y = -4 in both equations.

$3-4=1\\-1=1$

The equation isn't true. Therefore, this isn't the solution for the system.

$-6(3)-3(-4)=-3\\-18+12=-3\\-6=-3$

The equation isn't true for this one.

Conclusion ↝ The (3,-4) isn't the solution.