Question

Find the values of a,b,c,d
Plz....tell the correct answer fast with proof​

Answer 1

given that–

a + b = 19 ... (i)

a + c = 3 ... (ii)

b + d = 4 ... (iii)

c - d = 1 ... (iv)

adding (iii) and (iv)

b + d + c - d = 4 + 1

b + c = 5

c = 5 - b ... (v)

substituting (v) in (ii)

a + 5 - b = 3

a - b = 3 - 5

a - b = - 2 ... (vi)

adding (i) and (vi)

a + b + a - b = 19 - 2

2a = 17

a = $\frac{17}{2}$

a = 8.5

substituting value of a in (i)

8.5 + b = 19

b = 19 - 8.5

b = 10.5

substituting value of b in (v)

c = 5 - 10.5

c = -5.5

substituting value of c in (iv)

-5.5 - d = 1

-5.5 - 1 = d

d = -6.5

Hence, a = 8.5, b = 10.5, c = -5.5 and d = -6.5