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Use elimination to solve this system of equations. 2r + 3s= 9 and 3r + 2s= 12

Sagot :

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;

Answer:

(18/5,3/5)

Step-by-step explanation: