Algebra · Linear system · Elimination · Underdetermined system · Ratios
Nonzero real numbers \(a\), \(b\), \(c\) and a real number \(d\) satisfy
\[ a = b + 2c, \qquad a + c = b + d, \qquad b = d + c . \]
Which of the following equalities is certainly true?
- A \(d = 2c\)
- B \(a = 3c\)
- C \(a = 6c\)
- D \(a = b + 2d\)
- E \(b = 2a + 2d\)
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2011, 1. letnik, category A, problem A2. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source