Question

without drawing a graph show that Y=5 x - 3 ,Y = 4 - 2 X and 2x - 3y = 8 concurrent

Answer 1

solve any two equations and try to satisfy it on the remaining equation, if it satisfies then those three lines are concurrent at that point.

Answer 2

$y = 5x - 3 \\ y - 5x = - 3$
$y = 4 - 2x \\ y + 2x = 4$
$x = 1 \\ y = 2$
$2 \times 1 - 3 \times 2 = 4 \\ is \: not = 8$