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Ronch [10]
3 years ago
15

If 4x+3y=10 and 2x+7y=20, determine a coefficient for x that makes the equation below true.

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0
4x + 3y = 10 means 8x + 6y = 20
2x + 7y = 20 as well so
2x + 7y = 8x + 6y
-6x + y = 0

coefficient = -6
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Answer:

a = 13 and b = 12-5i

Step-by-step explanation:

We need a common denominator

3+2i         5-i

---------- + ---------

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------------------ + --------------------

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------------------ --------------------

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Combine like terms

21 +8i^2          

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(2+3i) (3-2i)

We know that i^2 = -1

21 +8(-1)        

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21 -8        

------------------

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13        

------------------

(2+3i) (3-2i)

Foil the denominator

13

---------------

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Combine like terms

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13

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We know have

13

-------------

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Multiply by the conjugate

13               ( 12-5i)

------------- * -------------

12 + 5i         12 -5i

13 (12-5i)

--------------

144 +25

13(12-5i)

-------------

169

12-5i

------------

13

The parentheses are (12-5i)/13

We need the reciprocal to make the equation become 1

which is 13/ 12-5i

a = 13 and b = 12-5i

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