Question

solve the system of equations by letting A 1/X and B = 1/y. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set y t and solve torx in terms of t.) 20 20 (x, y) =

Answer 1

(1)

20 A - 20 B = 9 (1) 4A + 5 B = 0 Multiplying equation 2 by 5 20 A + 25 B = 0 rightarrow (3) (3) - (1) gives 45 B = -9 B = -9/45 = -1/5 Putting value of B in (1) gives 20 A = 9 + 20 B = 9 - 4 = 5 A = 5/20 = 1/4 A = 1/x gives X = 4 B = 1/y gives Y = -5

$4A+5B=0$ . (2)

Multiplying equation 2 by 5

$20A+25B=0$ . (3)

(3) - (1) gives. 45B= -9

$B=rac{-9}{45}=rac{-1}{5}$

Putting value of B in (1) gives

$20A=9+20B=9-4=5$

A=1/x gives X=4

B=1/y gives Y= -5