Vika made $35,500 last year. If her income is increased by 10.5%, what is her adjusted income, Ai? (show equation).

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Ответ:

cnejcnefjvefven47

19.06.2022

Mathematics

The correct option is (B) (4, 9).

Step-by-step explanation: We are given to use the elimination method to solve the following system of equations :

$x-3y=-23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\5x+6y=74~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Multiplying equation (i) by 2, we have

$2(x-3y)=2\times (-23)\\\\\Rightarrow 2x-6y=-46~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Adding equations (ii) and (iii), we get

$(5x+6y)+(2x-6y)=74-46\\\\\Rightarrow 7x=28\\\\\Rightarrow x=\dfrac{28}{7}\\\\\Rightarrow x=4.$

From equation (i), we again get

$x-3y=-23\\\\\Rightarrow 4-3y=-23\\\\\Rightarrow 3y=4+23\\\\\Rightarrow 3y=27\\\\\Rightarrow y=\dfrac{27}{3}\\\\\Rightarrow y=9.$

Thus, the required solution of the given system is (x, y) = (4, 9).

Option (B) is CORRECT.

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