Answer:
Step-by-step explanation:
x, y, z - numbers to find
The difference between 4 times the first number and the second number is negative 3:
4x - y = -3
- y = -3 - 4x
y = 3 + 4x
The sum of three numbers is 16:
x + y + z = 16
x + 4x + 3 + z = 16
5x + z = 13
z = 13 - 5x
The sum of twice the first number, 5 times the second number, and 6 times the third number is 85:
2x + 5y + 6z = 85
2x + 5(3 + 4x) + 6(13-5x) = 85
2x + 15 + 20x + 78 - 30x = 85
-8x + 93 = 85
-8x = -8
x = 1
y = 3 + 4•1 = 7
z = 13 - 5•1 = 8
Veryfying:
1 + 7 + 8 = 16
2•1 + 5•7 + 6•8 = 2 + 35 + 48 = 85
