Question

There are two numbers. When the second number is subtracted from twice the first number, the result is 18. When 9 is added to the first number, the result is equal to twice the second number.
(a) Using x as the first number and y as the second number, write down a pair of simultaneous equations.
(b) Hence find the numbers x and y.

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Let x = the first number

Let y = the second number

2x - y = 18     Multiply this equation by 2 and add to the second equation.

 2y - x = 9

-2y + 4x = 36

         3x = 45

           x = 15

2(15) - y = 18

30 - y = 18

12 = y