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1. The sum of twice a number and 4 times another number is 4. The difference of the
numbers is 5. Find the numbers.

Sagot :

sqdancefan

9514 1404 393

Answer:

  4, -1

Step-by-step 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.

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