Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
2x + y = -1
8x + 3y = -2

There is one solution

Step-by-step explanation:

2x + y = -1

8x + 3y = -2

Multiply the first equation by -4

-8x -4y = 4

Then add the equations together to eliminate x

-8x -4y = 4

8x + 3y = -2

   -y = 2

Multiply by -1

y =-2

Now find x

2x+y =-1

2x+-2 =-1

Add 2 to each side

2x-2+2=-1+2

2x=1

Divide by 2

x = 1/2

{3 + i, 3 - i, 3, -1}

step-by-step explanation: