Findtwo numbers such that the sum of the frist and three times the second is 5 and the sum of second and two times the frist is 8

the first number is 3.8

The second number is 0.4

Step-by-step explanation:

Let x represent one if the numbers.

Let y represent the other number.

The sum of the first number and three times the second number is 5. It means that

x + 3y = 5 - - - - - - - - 1

the sum of second number and two times the first number is 8. It means that

2x + y = 8 - - - - - - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

2x + 6y = 10

2x + y = 8

Subtracting, it becomes

5y = 2

y = 2/5 = 0.4

Substituting y = 2/5 into equation 2, it becomes

2x + 2/5 = 8

10x + 2 = 40

10x = 40 - 2 = 38

x = 38/10 = 3.8

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step-by-step explanation: