Question

If 3 - (x - 5) = y + 2 and 2(x + y) = 4 - 3y, then the value of 'x + y' is

• A. 5
• B. 6
• C. 4
• D. 2

Answer 1

The correct option is B 6

From the first equation, we get:
3 - x + 5 = y + 2 - - - (1)
2(x + y) = 4 - 3y - - - (2)
Equation (1) $\Rightarrow$ x + y = 3 + 5 - 2 = 6
Putting x + y = 6 in equation (2), we get
2 $\times$ 6 = 4 - 3y
$\Rightarrow$ 12 = 4 - 3y
$\Rightarrow$ 3y = 4 - 12 = - 8
$\Rightarrow y=-\frac{8}{3}$
$Puttingy=-\frac{8}{3}+6=\frac{26}{3}$
$x-\frac{8}{3}=6$
$\Rightarrow x=\frac{8}{3}+6=\frac{26}{3}$
$\therefore Thesolutionisx=\frac{26}{3},y=-\frac{8}{3}$
$x+y=\frac{26}{3}-\frac{8}{3}=\frac{18}{3}=6$