Hi I'm Aluminum<3 Helping and C.S.I, but you can call me Alumi. for short.

So here's my Question,Determine how many solutions exist for the system of equations.
I need someone who can WORK IT OUT with me and SHOW me how to do it.

1. 6x+y=−3
2. 6x+y=−3
They both have these 3 options as answers.
A. One solution
B. Infinite solutions
C. No solutions

Thank You.
Cheers,

Alumi.

Oh and thanks, I really struggle in this.

@ Brady, @ Ay!!, @ Ms. Sue, @ Anonymous :D,

PLEASE HELP MEH!!!! I"M IN A HURRY>

infinate

if x=1, then
6(1)+y=-3
6+y=-3
move the six
y=-3+(-6)
y=-9

or
if x=-2, then
6(-2)+y=-3
-12+y=-3
subtract the twelve and add to the other side
y=-3+(--12)
two neg = positive
thus y=-3 + 12
y=9

Please be patient. All tutors are volunteers, and sometimes a tutor may not be immediately available. Please be patient while waiting for a response to your question.

*infinite

I'm sorry Ms. Sue. :(

On the other hand though.

Thanks A MILLION @ Matt!!!!

@ Ms. sue, changing name again. Gonna b

Alumi.♪♫

Hi Alumi! I'd be happy to explain how to determine how many solutions exist for the system of equations. For the system of equations you provided:

1. 6x + y = -3
2. 6x + y = -3

To determine the number of solutions, we need to analyze the coefficients of the variables (x and y) and the constants (-3 in this case).

Let's look at the equations side by side:

1. 6x + y = -3
2. 6x + y = -3

Both equations have the same coefficients for x and y, and they also have the same constant term (-3). This means that the equations represent the same line on a graph.

To determine the number of solutions, we need to consider two scenarios:

1. The lines are identical: If the two lines are identical, they coincide with each other, and there are infinitely many points of intersection. In this case, the system of equations has infinite solutions.

2. The lines are distinct: If the two lines are distinct, they do not coincide and only intersect at a single point. In this case, the system of equations has one solution.

Now, let's compare the equations to see if they fall into either of these scenarios:

1. 6x + y = -3
2. 6x + y = -3

As you can see, the equations are identical. Every point on one line will also satisfy the other equation. Therefore, the system of equations has infinite solutions.

So, the answer to your question is B. Infinite solutions.

I hope this explanation helps you understand how to determine the number of solutions for a system of equations. If you have any further questions, feel free to ask!