CAT (QA) PYQs

If $3x + 2|y|+ y = 7$ and $x + |x|+ 3y = 1$, then $x + 2y$ is

The area of the quadrilateral bounded by the $Y$-axis, the line $x=5$, and the lines $|x-y|-|x-5|=2$, is

If r a constant such that $|x^2 - 4x - 13| = r$ has exactly three distinct real roots, then the value of r is