1. the sum of two numbers is 84 and one of them is 12 more than the other. what is the smallest number? 2. jayla spent $42 on shoes. this was $14 less than twice what she spent on a shirt. how much was the shirt?and explain.

1. x+(x-12)=84. This will find the value of x
2x-12=84 2x(-12+12)=(84+12)
2x=96 (12 has been moved)
x=(96÷2) (divide both sides by 2) x=48
use the top equation to insert x value and verify answer

48+(48-12)=84
48+36=84

2. shoes=$42
2x-14=42 (shirt price) 2x(-14+14)=(42+14) gets rid of 14
2x=56 (divide both sides by 2) x=28

Number inserted to verify solution
2(28)-14=42 shirt
56-14=42
42=42
shirt price was $28