Two numbers

Determine the numbers x and y, so x + y = 8 is true, and the numbers are in the ratio of 4:5.

Correct answer:

x =  3.5556
y =  4.4444

Step-by-step explanation:


x+y=8
5x = 4y

x+y=8
5·x = 4·y

x+y = 8
5x-4y = 0

Pivot: Row 1 ↔ Row 2
5x-4y = 0
x+y = 8

Row 2 - 1/5 · Row 1 → Row 2
5x-4y = 0
1.8y = 8


y = 8/1.8 = 4.44444444
x = 0+4y/5 = 0+4 · 4.44444444/5 = 3.55555556

x = 32/9 ≈ 3.555556
y = 40/9 ≈ 4.444444

Our linear equations calculator calculates it.



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