Question

1. The sum of twice a number and 4 times another number is 4. The difference of the

numbers is 5. Find the numbers.

Answer 1

9514 1404 393

Answer:

4, -1

Explanation:

We can let x and y represent the two numbers. The first relation is ...

2x + 4y = 4

The second relation is ...

x - y = 5

Subtracting the second relation from half the first gives ...

1/2(2x +4y) -(x -y) = 1/2(4) -(5)

3y = -3

y = -1

From the second relation, ...

x = 5 +y = 5 -1 = 4

The two numbers are 4 and -1.