Answer:
The first number = 7
The second number = 12
Step-by-step explanation:
Let the first number = x
Let the second number = y
x + 5 = y
2*y + 11 = 5x
Solve for x in the first equation
x = y - 5
Substitute this result into the second equation
2y + 11 = 5(y - 5)
Remove the brackets
2y + 11 = 5y - 25
Subtract 2y from both sides
11 = 5y - 2y - 25
11 = 3y - 25
Add 25 to both sides.
11 + 25 = 3y
36 = 3y
Divide by 3
36/3 = 3y/3
y = 12
Rewrite the first equation. Put 12 in for y
x + 5 = y
x + 5 = 12
Subtract 5 from both sides
x = 12 - 5
x = 7
