129k views
0 votes
Use elimination to solve this system of equations. 2r + 3s= 9 and 3r + 2s= 12

2 Answers

1 vote

Answer:

(18/5,3/5)

Explanation:

User Mohamed Shater
by
8.2k points
5 votes
2r + 3s= 9 <=> -6r -9s = -27;
3r + 2s= 12 <=> 6r + 4s = 24;
=> 0*r -5*s = -3 => s = 3/5;

2*r + 3*(3/5) = 9<=> 10*r + 9 = 45 <=> 10*r = 36 => r = 18/5;

User Mixonic
by
7.9k points