The equation formed by multiplying each root of `ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0`
The solution of the simultaneous linear equaitons `2x+ y= 6 and 3y=8 + 4x` will also be satisfied by which one of the following linear equations ?

Options

A. `x+y=5`
B. `2x+y=5`
C. `2x-3y=10`
D. `2x+3y=6`

Answer

A

Explanation

Given equation are
`2x+ y = 6 rArr 2x = 6 - y" "`…(i)
and `3y = 8 + 2(2x)`
`rArr 3y = 8+ 2 ( 6-y)" "` (from(1))
`rArr 3y = 8+12 - 2y`
`rArr y= 4 and x = 1`
Now , equation given in option (a) is satisfied by` x=1 and y =4`