Question

three times a number plus three times a second number is fifteen. Four times the first plus twice the second number is fourteen. Find the numbers.

Answer 1

9514 1404 393

Answer:

  2 and 3

Step-by-step explanation:

Let x and y represent the first and second numbers, respectively.

  3x +3y = 15

  4x +2y = 14

Dividing the equations by common factors, we can rewrite them to standard form:

  x + y = 5

  2x + y = 7

Subtracting the first equation from the second gives ...

  (2x +y) -(x +y) = (7) -(5)

  x = 2

Using either equation to find y, we have also ...

  y = 3

The two numbers are 2 and 3.