Set up a system of linear equations, and solve for the indicated quantities.

Question

 Set up a system of linear equations, and solve for the indicated quantities.

        Six times the smaller of two numbers minus the larger number is –15.  Thirteen more than twice the smaller   number is three times the larger number.

 

Answer 1

6S -L = -15

13 + 2S = 3L

L = 6S + 15

13 + 2S = 3(6S + 15) = 18S + 45

18S -2S = 13-45 = -32

16S = -32

S = -2

L = 6(-2) + 15 = 3

smallest = -2, largest = 3