summerokdonpt summerokdonpt

11-12-2016
Mathematics

Answered

Twice the difference of two numbers is 14 and their sum is 3

find the numbers.

Verified Answer :

mathssydney mathssydney

11-12-2016

They are 5 and minus 2

You have to solve the system of equations
2(a-b)=14
a+b=3

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11-12-2016

Let, x+y = 3
2(x-y) = 14

Substitute value from eq (1) in eq (2),
2(3-y-y) = 14
2(3-2y) = 14
6-4y = 14
-4y = 8
y = -2

Put it into eq (1),
x-2 = 3
x = 5

So, x = 5 & y = -2

Hope this helps!

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