The lines y = x and x + y = 60 are drawn on the same axes. Calculate the coordinates of the point where they cross.

Model answer

(30; 30)

Also accepted: 30; 30

Explanation

Substitute y = x into x + y = 60 to get x + x = 60, so 2x = 60 and x = 30. Then y = 30 as well. The lines cross at (30; 30), which is one corner of the region defined by y >= x, y <= 3x, x + y <= 60 and 4x + 2y >= 120.

ZIMSEC Mathematics 4030/2, June 2016, Q10(d), via the Topical Collection

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