Find p+q, given that (q+4)(p+3)-(q+2)(p+1)=44.
Hence,
First multiply
(q+4)(p+3)
then multiply
(q+2)(p+1)
Subtract them and solve the equation
Solution:
(q+4)(p+3)=qp+3q+4p+12
(q+2)(p+1)=qp+q+2p+2
Subtract
qp+3q+4p+12-(qp+q+2p+2)
qp+3q+4p+12-qp-q-2p-2
2q+2p+10=44 subtract 10
2q+2p=34
Divide by 2
q+p=17
