solving system of linear equations

Question

tell whether the ordered pair is a solution of the system of linear equations. x-y= -2 ; 3x-y= -2. (1,3)

Answer 1

If the ordered pair (x = 1, y = 3) is a solution, then the linear equations would intersect at this point. You can easily determine whether this point it a solution by checking whether the point satisfies BOTH equations:

1) x - y = -2

(1) - (3) = -2

-2 = -2

2) 3x - y = -2

3(1) - (3) = -2

0 ≠ -2 <--- (1,3) is not a solution

Other ways you could solve this include graphing each linear equation and seeing if they intersect at (1,3) or solving the system for x and y using elimination or substitution.

Hope this helps!