Question

Factorise
5x + 6y - xy = 30
Find x & y​

Answer 1

Step-by-step explanation:

-xy + 5x + 6y + 30

into two 2-term polynomials

+ 5x - xy and + 6y + 30

This partition did not result in a factorization. We'll try another one:

- xy + 5x and + 6y + 30

This partition looks good

1.2 Pull out from each binomial separately

-xy + 5x = -x • (y + 5)

+ 6y + 30 = + 6 • (y + 5)

1.3 Add up to arrive at the desired factorization

(x - 6) • (y + 5)

Factorization found :

(x -6) • (y + 5),x=6 andy=-5