If A, B, C, And D Are Whole Numbers Such That A+B= 8, B+C= 1, B+D= 13, And C+D= 14, Find The Values Of A,B,C,D.

if A, B, C, and D are whole numbers such that A+B= 8, B+C= 1, B+D= 13, and C+D= 14, find the values of a,b,c,d.

 

Answer:

A = 8, B = 0, C = 1, D = 13

Step-by-step explanation:

Let the following:

(Eq. 1) A + B = 8

(Eq. 2) B + C = 1

(Eq. 3) B + D = 13

(Eq. 4) C + D = 14

Now,

(2) + (3) = 2B + C + D = 14

Given (4), 2B = 0 -> B = 0

Solving for (2), 0 + C = 1 -> C = 1

Solving for (4), 1 + D = 14 -> D = 13

Solving for (1), A + 0 = 8 -> A = 8

Hope this helps!

~~DeanGD20