Use the laws of Boolean algebra to show that the two Boolean expressions in each pair are equivalent. Show that a. xy + xy = x. b. Show that xy + zx = (x + y)(z + x) c. x + xy = x

a) b) and c) is proven :)

Step-by-step explanation:

a)

( For a) we used Boolean law like always true, and

a1=1a= a)

b)    

( For we used double negation , and De Morgans law and )

c) x+xy=x(1+y)=x1=x

(For c) we used Distribution law a(b+c)=ab+ac, and identity a1=1a=a)

q1 a person or thing situated away or detached from the main body or system. a cluster is a a mash of many things.

q2 do

step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.