A first number plus twice a second number is 6. Twice the first number plus the second totals 24. Find the numbers

Answer: 14 and - 4

Step-by-step explanation:

From the first statement: Let the first number be x and the second number be y, then x + 2y = 6.

From the second statement: 2x + y = 24

Combining the two equations, we have

x + 2y = 6 ... equation 1

2x + y = 24 ... equation 2

Solving simultaneously

x = 14, y = - 4