(a) [1 mark] Find all solutions (x, y, z), if any solutions exist:
$x + 7y - 3z = 16$
$2x - 3y + z = -5$
$x + 3y + z = 12$
(b) [1 mark] Find all solutions (x, y), if any solutions exist:
$x - y = 3$
$x + y = 4$
$5x - y = 10$
(c) [1 mark] Sketch (on paper, by hand) the lines provided in part (b). Does your sketch
agree with your answer to part (b)?
(d) [1 mark] Shade the region of the xy-plane containing all points that satisfy the following
inequalities:
$x - y < 3$
$x + y < 4$
