Question

Solve a system of equations to find the two numbers described.

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.

Answer 1

1.6 & 3.2

Explanation:

Let's call the first number "x" and the second number "2x".From the first equation:

x + 2(2x) = 8

Expanding the second number:

x + 4x = 8

Combining like terms:

5x = 8

Solving for x:

x = 1.6Using x, we can find 2x:

2x = 2 * 1.6 = 3.2So the numbers are 1.6 and 3.2.

Correct me if I’m wrong.