If 2x + y = 23 and 4x - y = 19 then find the values of 5y - 2x and

Question

Philoid · Accepted Answer

Given equations are

2x + y = 23 …(i)

and 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

and

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