Examine this system of equations. Which is an equivalent form of the first equation that when added to the second equation eliminates the x terms?

4/5x - 3/5 y = 18
8x + 3y = 9

A. –8x + 6y = –180
B. 8x – 6y = 180
C. –8x + 3y = –90
D. 8x – 3y = 90

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The answer is Option A

Step-by-step explanation:

To eliminate the x terms by adding the first to the second equation, we have to make the coefficient of the first x the additive inverse of the second.

i.e. we have to convert ⅘ into -8 which is the additive inverse of 8..

to convert ⅘ into -8 ..we multiply by -10

(⅘x × -10) - (⅗y × -10) = 18 × -10

; -8x + 6y = -180

So therefore if you add -8x to 8x, it would be equal to 0.

2

step-by-step explanation:

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step-by-step explanation: