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If $2 x + 3 y = 13$ and $3 x - y = 3$ , find the value of $x + y$ .

Competition practiceAlgebra

A4
B5
C6
D7

Step-by-Step Solution

From the second equation

y = 3 x - 3

. Substitute:

2 x + 3 (3 x - 3) = 13

, so

11 x = 22, x = 2

and

y = 3

. Then

x + y = 5

.

Answer: B) 5

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