Question

Solve for values of X and Y. Show steps. x+y = 27; xy + x - y = 183.

Answer 1

Answer:

x+y=27 eq. 1

xy+x-y=183 eq. 2

find:

x=?

y=?

now, from eq. 1

x+y=27

x=27-y

put in eq. 2

xy+x-y=183

(27-y) y+27-y-y=183

27y-y²-2y=156

y²+25y+156=0

y²+12y+13y+156=0

y(y+12) +13(y+12) =0

y=-12, -13

if y=-12

then, x=27-(-12)

x=39

if y =-13

then, x=27-(-13)

=40