Question

Which statement describes the solution to this system of equations?

2x – 4y = 8
8x - 16y = 32
А
There is exactly one solution, (2,4)
B
There is exactly one solution, (8,32)
ОООО
с
There is no solution to the system of equations
D
There is an infinite number of solutions to the system of equations.

Answer 1

9514 1404 393

Answer:

D There is an infinite number of solutions to the system of equations

Explanation:

When you put the first equation in standard form by dividing it by 2, you get ...

x -2y = 4

When you put the second equation in standard form by dividing it by 8, you get ...

x -2y = 4

These are the same equation, so describe the same line. There are an infinite number of (x, y) pairs that will satisfy this equation.

There is an infinite number of solutions.