If 2x + y = 23 and 4x – y = 19, find the values of 5y – 2x and y/x

1.	If 2x + y = 23 and 4x – y = 19, find the values of 5y – 2x and y/x – 2.
Answer» Given equations are 2x + y = 23 …(i) 4x – y = 19 …(ii) On adding both equations, we get 6x = 42 So, x = 7 Put the value of x in Eq. (i), we get 2(7) + y = 23 y = 23 – 14 so, y = 9 Hence 5y – 2x = 5(9) – 2(7) = 45 – 14 = 31 y/x – 2 = 9/7 -2 = -5/7 Hence, the values of (5y – 2x) and y/x – 2 are 31 and -5/7 respectively.

If 2x + y = 23 and 4x – y = 19, find the values of 5y – 2x and y/x – 2.

Answer»

Given equations are

2x + y = 23 …(i)

4x – y = 19 …(ii)

On adding both equations, we get

6x = 42

So, x = 7

Put the value of x in Eq. (i), we get

2(7) + y = 23

y = 23 – 14

so, y = 9

Hence 5y – 2x = 5(9) – 2(7) = 45 – 14 = 31

y/x – 2 = 9/7 -2 = -5/7

Hence, the values of (5y – 2x) and y/x – 2 are 31 and -5/7 respectively.