Question

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

Answer 1

Answer: 14 and -4

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