Question

Find the value of c and d when 5c-d=11 and 4c+3d=24

Answer 1

$5c - d = 11 - - - (1) \\ 4c + 3d = 24 - - - (2) \\ (1) \times 3 + (2) \: \: gives \\ 19c = 57 \\ c = 3 \\ substituting \: \: in \: \: (1) \\ d = 5 \times 3 - 11 = 4$