Question

Solve:

a
This system has no solution.
b
(1, 1) and (0, 0)
c
This system has infinitely many solutions.
d
This system has exactly one solution.

Answer 1

Answer: c

This system has infinitely many solutions.

Explanation:

Solve by substitution:

1) Solve
`y=2x-1` for
`y`:

`y=2x-1`

2) Substitute
`2x-1` for
`y` in
`2x-y-1=0`:

`2x-y-1=0`

`2x-(2x-1)-1=0`

3) Simplify both sides of the equation:

`0=0`

Therefore, This system has infinitely many solutions.

Solve by elimination:

You can't solve this system of equations by elimination.

Solve by graphing:

The lines are directly on top of each other, Therefore there are infinitely many solutions.