Question

if 2x +3y =0 and 4x - 3y =0, then x+y =
a)0
b)-1
c)1
d)2
​

Answer 1

Answer:

Option a

Step-by-step explanation:

$2x +3y=0\\\\2x=-3y$

$x=\frac{-3y}{2}$                                  ................ (equation 1)

$4x-3y=0$

(from equation 1)

$4(\frac{-3y}{2})-3y=0\\\\2(-3y)-3y=0\\\\-6y-3y=0\\\\-9y=0\\\\y=0$

putting the value of y in equation 1

$x=\frac{-3(0)}{2}\\\\x=\frac{0}{2}\\\\x=0$

thus x + y = 0 + 0 = 0