If the lines $4x + 3y = 1$,$y = x + 5$,and $5y + bx = 3$ are concurrent,then the value of $b$ is:

If $\begin{vmatrix} a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3 \end{vmatrix} = 0$, then the lines $a_i x + b_i y + c_i = 0$ $(i = 1, 2, 3)$ represent:

If $a + b + c = 0$ and $p \neq 0$,the lines $ax + (b + c)y = p$,$bx + (c + a)y = p$ and $cx + (a + b)y = p$ are:

If the lines $ax + by + c = 0$,$bx + cy + a = 0$,and $cx + ay + b = 0$ are concurrent,then:

The three straight lines $ax + by = c$,$bx + cy = a$ and $cx + ay = b$ are concurrent,if

The equation of the line passing through the point of intersection of the lines $x + 2y + 6 = 0$ and $2x - y = 2$ and making an intercept $5$ on the $y$-axis is