Question

The sum of a number and twice a greater number is 8. The sum of the greater number and twice the lesser number is -6.

can you solve the system equation to find the two numbers described

Answer 1

Explanation:

Let x represent the lesser number and y represent the greater number.

x + 2y = 8

y + 2x = -6

Subtract equation 1 from equation 2:

3x = -14

x = -14/3

Substitute x = -14/3 into equation 1:

-14/3 + 2y = 8

2y = 22/3

y = 11/3

The lesser number is x = -14/3 and the greater number is y = 11/3.