The sum of two numbers is 56. Two times the smaller

number is 12 more than one-half the larger number.

Let x represent the smaller number and let y repre-

sent the larger number.

x=16

y=40

Step-by-step explanation:

x + y = 56

y = 56 - x (isolate a variable)

y = - x + 56 (this is optional)

2x =.5y + 12

2x =.5 (-x + 56) + 12 (substitute for y)

2x = -.5x + 28 + 12

2x = -.5x + 40

2.5x = 40

x = 16

16 + y = 56 (plug what you got for x back into the original eq)

y = 40