Question

Solve the system of equations 2r + 2s = 50 and 2r – s = 17. A. r = 3, s = 11 B. r = 25, s = 33 C. r = 14, s = 11 D. r = –8, s = 33

Answer 1

$2r = 17 + s = 50 - 2s \\ 3s = 50 - 17 = 33 \\ s = 11 \\ \\2 r = 50 - 2s \\ 2r = 50 - 2 \times 11 = 50 - 22 = 28 \\ r = 14$




C. r=14, s =11