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What is the area of the triangle formed by the lines $x + y = 6, x - y = 2$ and the $y$ -axis?

Competition practiceAlgebra

A8 sq units
B12 sq units
C16 sq units
D32 sq units

Step-by-Step Solution

The lines meet at

(4, 2)

and cut the

y

-axis at

(0, 6)

and

(0, - 2)

. Base

= 8

, height

= 4

: area

= 16

.

Answer: C) 16 sq units

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