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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

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

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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