If `2x + y = 23` and `4x - y = 19`, then find the values of `5y - 2x ` and `(y)/(x) - 2`.

Explanation

Given equations are
`2x+y=23 " " ...(i)`
and `4x-y=19 " " ...(ii)`
On adding both equations, we get
`6x = 42 rArr x=7`
Put the value of x in Eq. (i) , we get
2(7) + y =23
`rArr " " 14+y=23`
`rArr " " y=23-14`
`rArr " " y=9`
We have, `" " 5y-2x=5xx9-2xx7`
`" " =45-14=31`
and `" " (y)/(x)-2=(4)/(x)-2=(9)/(7)-2=(9-14)/(7)=-(5)/(7)`
Hence, the values of (5y-2x)and `((y)/(x)-2)` and 31 and `(-5)/(7)` respectively.