what is the ordered pair that represents a solution to both equations

Question

what is the ordered pair that represents a solution to both equations

Answer 1

ax + by = c

dx + ey = f

aex + bey = ec

bdx + bey = bf

subtract to get

(ae-bd)x = ec-bf

x = (ec-bf)/(ae-bd) = the x coordinate of the ordered pair

by = c-ax

y = c/b -ax/b = c/b - (a/b)(ec-bf)/(ae-bd) = the y coordinate of the ordered pair