Question

If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the system? (1 point)

The solution is (1, 3)
The solution is x = 1 and y = 3
There is no solution
There are infinitely many solutions

Answer 1

There is no solution

Explanation:

1 doesn't equal 3 so it can't have a solution

Answer 2

we know that

the statement

`1=3` -----> is not true

so

The system has no solutions

For example

two parallel lines

`y=5x+1` -----> equation A

`y=5x+3` -----> equation B

The system has no solution. because the lines are parallel

If you equate equation A and equation B

`5x+1=5x+3`

`1=3` ------> is not true

therefore

the answer is the option

There is no solution