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


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.


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