Question

Solve the system r + s = -12

4R - 6s = 12
A. -4,-8
B -6,-6
C -4,8
D Infinitely many solutions

Answer 1

B. (-6,-6)

Explanation:

r + s = -12 so r = -s - 12

4r - 6s = 12

substitute r = -s - 12 into 4r - 6s = 12

4r - 6s = 12

4(-s - 12) - 6s = 12

-4s - 48 -6s = 12

-10s = 60

s = -6

r = -(-6) - 12

r = 6 - 12

r = -6

So therefore the answer is (-6,-6).

Answer 2

r + s = -12 so r = -s - 12
4r - 6s = 12

substitute r = -s - 12 into 4r - 6s = 12

4r - 6s = 12
4(-s - 12) - 6s = 12
-4s - 48 -6s = 12
-10s = 60
s = -6

r = -(-6) - 12
r = 6 - 12
r = -6

answer
B -6,-6