Question

If $2x-9y=11$ and $x+12y=-8$, compute the value of $x+y$.

• A. $-\frac{29}{11}$
• B. $-\frac{9}{11}$
• C. $1$
• D. $\frac{20}{11}$
• E. $\frac{29}{11}$

Answer 1

The correct option is C $1$

Given equations are

$2x-9y=11$ .....(1)

and $x+12y=-8$ .....(2)

Adding both the equations, we get

$2x+x+12y-9y=-8+11$

$\Rightarrow 3x+3y=3\Rightarrow x+y=1$

Hence, option C is correct.