Question

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

Answer 1

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! :)