Question

if 2x+3y=4 and 3x+2y=6 then x+y=_____​

Answer 1

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If $2x + 3y = 4$ and $3x + 2y = 6$, find the value of $x + y$

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Given,

$2x + 3y = 4 \: ...(i)$

$3x + 2y = 6 \: ..(ii)$

Adding both the equations, we get,

$5x + 5y = 10$

$\implies 5(x + y) = 10$

$\implies (x + y) = 2$

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• $x + y = 2$

Answer 2

Step-by-step explanation:

2x+3y = 6

x = (6-3y)/2 ____(1)

3x+2y = 6

y = (6-3x)/2 ____(2)

From eq. (1) and (2)

x+y = (6-3y)/2 + (6-3x)/2

= (12-3y-3x)/2

= {3(4-y-x)}/2