Maths Olympiad Prep

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CEMC Cayley, 2020

Algebra Difficulty 1.1 Junior Find the answer Canada

When x=3x=3 and y=4y=4, the value of xy−xxy-x is

33
44
1212
99
1515

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

When x=3x=3 and y=4y=4, we get xy−x=3×4−3=12−3=9xy - x = 3 \times 4 - 3 = 12 - 3 = 9.

Alternatively, xy−x=x(y−1)=3×3=9xy - x = x(y-1) = 3 \times 3 = 9.

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