Determine algebraically the co-ordinate of the points of intersection of the graphs of x-y=3 and xy=28

Question

asked Dec 17, 2024 161k views

1 Answer

Tonisha · Answer 1 · 2024-12-22T09:24:52+0000

Answer:

Explanation:

First write X - Y = 3 as X = 3 +Y.

Then, replace the value of X in the equation XY = 28.

That is, (3 + Y)Y = 28.

Then, we have
Y^(2) +3Y-28=0 . By solving for Y, we have

Y = 4 and Y = -7. Then, replecing Y in the equation X - Y = 3. We have,

X = 7 and X = -4.

Hence, the points of interseccion are, (7,4) and (-4,7)