Answer:
see explanation
Step-by-step explanation:
Equate pairs of the equations and solve, that is
y = 2x and y = 2 , hence
2 = 2x ( divide both sides by 2 )
1 = x ⇒ (1, 2)
2x + y - 12 = 0 and y = 2, hence
2x + 2 - 12 = 0
2x - 10 = 0 ( add 10 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5 ⇒ (5, 2)
y = 2x and 2x + y - 12 = 0 ( substitute y = 2x into the second equation )
2x + 2x - 12 = 0
4x - 12 = 0 ( add 12 to both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Substitute x = 3 into y = 2x = (2 × 3 ) = 6 ⇒ (3, 6)
The coordinates of the 3 vertices are
(1, 2 ), (5, 2 ) and (3, 6 )
