naeshayelewis naeshayelewis
  • 25-09-2021
  • Mathematics
contestada

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)

Where do the lines defined by the following system intersect x 2y 3x 4y 8 A 84 B 42 C D 42 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 25-09-2021

Answer:

A

Step-by-step 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

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