Maths Olympiad Prep

Library / /27 of 173

Algebra Difficulty 2.1 Junior Find the answer

If u=−6u=-6 and x=13(3−4u)x=\frac{1}{3}(3-4 u), what is the value of xx?

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

Solution

Substituting, x=13(3−4u)=13(3−4(−6))=13(3+24)=13(27)=9x=\frac{1}{3}(3-4 u)=\frac{1}{3}(3-4(-6))=\frac{1}{3}(3+24)=\frac{1}{3}(27)=9.

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.