Answer: The numbers are 10.8 and 46.2.
Step-by-step explanation: The sum of two numbers is 57.
x + y = 57
Assume x is the larger number.
x - 3 = 4y
x = 4y + 3
Use subsitution.
4y + 3 + y = 57
y = -4y - 3 + 57
y = -4y + 54
5y = 54
y = 10.8
Plug in y.
x + 10.8 = 57
x = 46.2
Check.
46.2 - 3 = 4(10.8)
43.2 = 43.2
Since 150 is a multiple of 5 and also a multiple of itself, the least common multiple of 5 and 150 is 150.
Answer: y=-4
Step-by-step explanation:
8(3)+5y=4
24+5y=4
subtract each side by 24
5y=-20
divide by 5
5 y=-4