WAEC 2021 · Paper 1 · Q13

If 4x+2y=164x + 2y = 16 and 6x−2y=46x - 2y = 4, find the value of (y−x)(y - x).

Worked solution (try it first)
  1. Add the two equations so the yy terms cancel: 10x=2010x = 20, so x=2x = 2.
  2. Put x=2x = 2 into 4x+2y=164x + 2y = 16: 8+2y=168 + 2y = 16, so 2y=82y = 8 and y=4y = 4.
  3. So y−x=4−2=2y - x = 4 - 2 = 2, option B.

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