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Popular Word Problems >

Two times a number plus three times another number equals 4. Three times the first number plus four times the other number is 7. Find the numbers.

Solution

Tw o t im es a n u mb er pl u s t h ree t im es an o t h er n u mb er e q u a l s 4. T h ree t im es t h e f i rs t n u mb er pl u s f o u r t im es t h e o t h er n u mb er i s 7. F in d t h e n u mb ers .

Solution

The numbers : 5, - 2

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

2 x + 3 y = 4

3 x + 4 y = 7

2 x + 3 y = 4, 3 x + 4 y = 7 : x = 5, y = - 2

The numbers : 5, - 2

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