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1 vote
3x – 7 y = -27
16x - 5y = 0
(using the linear equation system and solving for x,y)

User Zfrisch
by
7.9k points

1 Answer

1 vote

Answer:

x=5 and y=6

Explanation:

Step: Solve 3x−7y=−27 for x:

3x−7y=−27

3x−7y+7y=−27+7y

3x=7y−27


(3x)/(3) =(7y-27)/(3)


x=(7)/(3) y-9

Step: Substitute
(7)/(3)y-9 for x in 6x−5y=0:

6x−5y=0


6((7)/(3)-9)-5y=0

9y−54=0

9y−54+54=0+54

9y=54


(9y)/(9) =(54)/(9)

Therefore y=6.

Step: Substitute 6 for y in x=
(7)/(3) y-9:


x=(7)/(3) y-9


x=(7)/(3)(6)-9

Therefore x= 5.

x= 5 and y= 6

Hope this helped! :)

User Liby
by
8.0k points

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