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Solve $2/ x + 3/ y = 13$ and $5/ x - 4/ y = - 2$ , and find $x + y$ .

Competition practiceAlgebra

A5/6
B5
C6/5
D1/6

Step-by-Step Solution

Put

u = 1/ x, v = 1/ y : 2 u + 3 v = 13

and

5 u - 4 v = - 2

give

u = 2, v = 3

. So

x = 1/2, y = 1/3

and

x + y = 5/6

.

Answer: A) 5/6

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