Question

Heya guys....☻☻☻☻

Can you solve this question....✭

I challenge Ace, genius, and brainly stars.....☻☻☻

Answer 1

ANSWER:

There are 2 sets of possible solutions:

[1] Answer: a = 9.2 , b = -1.16 , c = 1.15 , d = -6.85

[2] Answer: a = 62.88 , b = -57.88 , c = 7.86 , d = -0.14

The answer works only if they are equal to 8 if rounded to the nearest whole number.

I am only presenting the solution for [1]

.

EXPLANATION:

Form equations :

a + b = 8 ------------------ [ 1 ]

c - d = 8 ------------------ [ 2 ]

a ÷ c = 8 ------------------ [ 3 ]

bd = 8 ------------------ [ 4 ]

.

From [ 1 ] :

a + b = 8

a = 8 - b ------------------ [ 5 ]

.

From [ 2 ]

c - d = 8

c = 8 + d ------------------ [ 6 ]

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Substitute [ 5 ] and [ 6 ] into [ 3 ]:

a ÷ c = 8

(8 - b) ÷ (8 + d) = 8

$\dfrac{8 - b}{8 + d} = 8$

8( 8 + d) = (8 - b)

64 + 8d = 8 - b

b = - 56 - 8d ------------------ [ 7 ]

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Sub [ 7 ] into [ 4 ] :

bd = 8

( - 56 - 8d ) d = 8

( -7 - d ) d = 1

-7d - d² = 1

d² + 7d + 1 = 0

d = -0.14 or -6.85

.

Take d = -6.85:

Substitute d = -6.85 into [ 2 ] :

c - d = 8

c - ( - 6.85 ) = 8

c = 1.15

.

Substitute c = 1.15 into [ 3 ]:

a ÷ c = 8

a ÷ 1.15 = 8

a = 9.2

.

Substitute a = 9.2 into [ 1 ] :

a + b = 8

9.92 + b = 8

b = - 1.16

.

Answer: a = 9.2 , b = -1.16 , c = 1.15 , d = -6.85