Question

A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let xrepresent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.

1. x= 1/2y-3

2. 2x-y= -6

3. 2x-y= -3

4. x= 1/2 (y-3)

5. y-10 (x-1)

Answer 1

x = (1/2)y - 3 (equation 1)

2x = y - 6

2x - y = -6 (equation 2)

y = 10(x - 1) (equation 5)