Question

Where do the lines defined by the following

system intersect?
x = 2y
3x – 4y = 8
A. (8,4)
B. (4,2)
C.
D. (-4,-2)

Answer 1

A

Explanation:

Given the equations

x = 2y → (1)

3x - 4y = 8 → (2)

Substitute x = 2y into (2)

3(2y) - 4y = 8

6y - 4y = 8

2y = 8 ( divide both sides by 2 )

y = 4

Substitute y = 4 into (1) for corresponding value of x

x = 2(4) = 8

The lines intersect at (8, 4 ) → A