two times one number added to four times another gives 34. The sum of the two numbers is 13. Find the numbers

9 and 4

Step-by-step explanation:

let the 2 numbers be x and y, then

2x + 4y = 34 → (1)

x + y = 13 → (2)

Rearrange (2) expressing y in terms of x by subtracting x from both sides

y = 13 - x → (3)

Substitute y = 13 - x into (1)

2x + 4(13 - x) = 34 ← distribute and simplify left side

2x + 52 - 4x = 34

- 2x + 52 = 34 ( subtract 52 from both sides )

- 2x = - 18 ( divide both sides by - 2

x = 9

Substitute x = 9 into (3)

y = 13 - 9 = 4

The 2 numbers are 9 and 4

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step-by-step explanation: