Question

How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? a . 5y − 5x = −10. 3y − 3x = 24 b. 5y − 5x = −10. 3y + 3x = 24 c. 5y + x = −10. 3y + x = 24 d. 5y − x = −10. 3y − x = 24

Answer 1

D- 5y − x = −10

3y − x = 24

Explanation:

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Answer 2

The answer is d. 5y − x = −10. 3y − x = 24


`(1)/(5)x-2= (1)/(3)x+8=y`
⇒
`y= (1)/(5)x-2`

`y= (1)/(3)x+8`
________________________

`y= (x)/(5) -2= (x)/(5) - (10)/(5) = (x-10)/(5)`

`y= (x)/(3) +8= (x)/(3) + (24)/(3) = (x+24)/(3)`
________________________

`y= (x-10)/(5)` ⇒
`5y=x-10`

`y= (x+24)/(3)` ⇒
`3y=x+24`
________________________

`5y-x=-10`

`3y-x=24`