Respuesta :

Answer:

C

Step-by-step explanation:

Given the 2 equations

3x + 4y = 8 → (1)

y - 5x = 2 ← rewrite as

- 5x + y = 2 → (2)

Multiplying (2) by - 4 and adding to (1) will eliminate the y- term

20x - 4y = - 8 → (3)

Add (1) and (3) term by term to eliminate y

23x + 0 = 0

23x = 0 , then

x = 0

Substitute x = 0 into either of the 2 equations and solve for y

Substituting into (1)

3(0) + 4y = 8

4y = 8 ( divide both sides by 4 )

y = 2

solution is (0, 2 )

That is the lines intersect once at (0, 2 )

MikuHatsunepink

For 3x + 4y = 8

X-intercepts: (8/3, 0

y-intercepts: (0,2)

____________________

For y- 5x = 2

X-intercepts: (-2/5, 0)

y-intercepts: (0,2)

_______________________________

Your answer is C

_________________

To find the X-intercept, substitute in 0 for y and solve for x. To find y-intercept,substitute in 0 for x and solve y.

Hope this helps