Problema Solution

One number is 6 more than half the second number. The sum of the three timesthe first number andtwice the second number is negative 3.

Answer provided by our tutors

Let the two numbers be x and y. Then according to the question:

x = y/2 + 6(1)

=> 2x - y = 12(2)

3x + 2y = -3(3)

(2) multiplied by 2 gives

4x - 2y = 24(4)

(3) + (4) gives:

7x = 21

=> x = 21/7 = 3

 

Putting x=3 in 2, we get

y = 2x - 12 = 6-12 = -6