Two numbers

The sum of the two numbers is 1. Find both numbers if you know that half of the first is equal to one-seventh of the second number.

Correct answer:

a =  0.2222
b =  0.7778

Step-by-step explanation:


a+b=1
a/2 = b/7

a+b = 1
7a-2b = 0

Pivot: Row 1 ↔ Row 2
7a-2b = 0
a+b = 1

Row 2 - 1/7 · Row 1 → Row 2
7a-2b = 0
1.29b = 1


b = 1/1.28571429 = 0.77777778
a = 0+2b/7 = 0+2 · 0.77777778/7 = 0.22222222

a = 2/9 ≈ 0.222222
b = 7/9 ≈ 0.777778

Our linear equations calculator calculates it.



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