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 = –8, s = 33 d. r = 14, s = 11

Answer 1

If you would like to solve the system of equations 2r + 2s = 50 and 2r - s = 17, you can do this using the following steps:

2r + 2s = 50
2r - s = 17 ... 2r = 17 + s
____________
2r + 2s = 50
17 + s + 2s = 50
17 + 3s = 50
3s = 50 - 17
3s = 33
s = 33/3
s = 11

2r = 17 + s = 17 + 11 = 28
2r = 28
r = 28/2
r = 14

(r, s) = (14, 11)

The correct result would be d. r = 14, s = 11.