Question

How many solutions does the system have?

3y = -6x+9
y = -6x + 9

Choose 1 answer:
A Exactly one solution
B No solutions
С Infinitely many solutions​

Answer 1

A

Explanation:

khan

Answer 2

A Exactly one solution

Explanation:

`\left \{ {{6x-3y=9} \atop {6x+y=9}} \right.\\\\\left \{ {{6x-3y=9} \atop {-6x-y=-9}} \right\\\\Then, \\\\-4y=0\\\\\\ y=0\\\\`

Putting y=0 at second equation, we have

`-6x=-9\\\\x=(9)/(6) =(3)/(2)`

The unique solution is
`((3)/(2) , 0)`