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Sladkaya [172]
2 years ago
8

А + B = 8, A*C = 21, B-D=5С*D= 9findА,В,С,D​

Mathematics
1 answer:
Tanya [424]2 years ago
5 0

Answer:

<em><u>A = 2.1</u></em>

<em><u>B = 5.9</u></em>

<em><u>C = 10</u></em>

<em><u>D = 0.9</u></em>

Step-by-step explanation:

This is a long one

A + B = 8

my plan is to substitute B

B - D = 5

B = 5 + D

Now substitute D

C*D=9

D = 9/C

Now substitute C

A*C = 21

C = 21/A

Back to the D equation

D = 9/C

D = 9/(21/A) = 9A/21 = 3A/7

Back to B equation

B = 5 + D

B = 5 + 3A/7

Back to A equation

A + B = 8

A + (5 + 3A/7) = 8

7/7A + 3/7A + 5 = 10A/7 + 5 = 8

10A/7 = 3

10A = 21

<u><em>A = 21/10 = 2.1</em></u>

The rest <em>should</em> be simple

B = 5 + 3A/7

<u><em>B = 5 + 3(2.1)/7 = 5.9</em></u>

C = 21/A

<em><u>C = 21/2.1 = 10</u></em>

D = 9/C

<em><u>D = 9/10 = 0.9</u></em>

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