Question

5p-3r=1

8p+6r=4

Which ordered pair (p, r) is a solution to the given system of linear equations? A . (-1,-2) B. (-2,-1) C. (2/9,1/3) D. (1/2,2/9)

Answer 1

If you would like to solve the system of equations, you can do this using the following steps:

5p - 3r = 1 /*2
8p + 6r = 4
__________
10p - 6r = 2
8p + 6r = 4
__________
10p - 6r + 8p + 6r = 2 + 4
18p = 6
p = 6/18
p = 1/3

5p - 3r = 1
5 * 1/3 - 3r = 1
5/3 - 3r = 1
5/3 - 1 = 3r
5/3 - 3/3 = 3r
2/3 = 3r
r = 2/9

(p, r) = (1/3, 2/9)

The correct result would be (1/3, 2/9).