Question

How many solutions does the system have?

6x - y= -1
6x + y = -1
Choose 1 answer
A. Exactly one solution
B. No solutions
C. Infinitely many solutions

Answer 1

A) exactly one solution-(-1/6,0)

Explanation:

6x-y=-1

6x+y=-1

First, use elimination and cancel out the y-values:

you would get: 12x=-2

Divide both sides by 12: (12x/12)=(-2/12)--x=-1/6

x=-1/6

Now, subtitute the x-value into tje first equation to find the y-value:

6(-1/6)-y=-1

-1-y=-1

-1+1-y=-1+1

-y=0

-y/-1=0/-1

y=0

y=0