Question

How many solutions does the system have?

y= 4x + 5

- 8x + 2y=10


A. Zero.

B. Infinitely many.

C. One. ​

Answer 1

B. Infinitely many.

Explanation:

y= 4x + 5

-8x + 2y = 10

Solve the second equation for y.

-8x + 2y = 10

2y = 8x + 10

y = 4x + 5

The system of equations is:

y = 4x + 5

y = 4x + 5

Since there is only 1 equation and 2 variables, there is an infinite number of solutions.

Answer: B. Infinitely many.