The lines y = 1 and x + y = 5 are drawn on the same axes. Calculate the coordinates of the point where they cross.

Model answer

(4; 1)

Also accepted: 4; 1

Explanation

Every point on the line y = 1 has y = 1. Substituting into x + y = 5 gives x + 1 = 5, so x = 4. The lines cross at (4; 1), which is one corner of the region defined by x >= 1, y > 1 and x + y <= 5.

ZIMSEC Mathematics 4028/2, June 2013, Q12(b), via the Topical Collection

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