Answer:
6 and 3
Step-by-step explanation:
let x and y be the 2 numbers with x > y , then
2x + 3y = 21 → (1)
x - y = 3 → (2)
Multiplying (2) by 3 and adding the result to (1) will eliminate y
3x - 3y = 9 → (3)
Add (1) and (3) term by term to eliminate y
5x = 30 ( divide both sides by 5 )
x = 6
Substitute x = 6 into either of the 2 equations and solve for y
Substituting into (1)
2(6) + 3y = 21
12 + 3y = 21 ( subtract 12 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
The 2 numbers are 6 and 3