SOLUTION: I have to determine the number of solutions and identify the type of system, as well as checking my work. I am not sure how to check my work. Can someone help me? -6x+2y=4 3x-y=

Question 125998: I have to determine the number of solutions and identify the type of system, as well as checking my work. I am not sure how to check my work. Can someone help me?
-6x+2y=4
3x-y=-4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's solve this system by using substitution
Start with the given system of equations:

Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.

So let's isolate y in the first equation

Start with the first equation

Add to both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

---------------------

Since , we can now replace each in the second equation with to solve for

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Distribute the negative

Combine like terms on the left side

Add 2 to both sides

Combine like terms on the right side

Since this equation is never true for any x value, this means there are no solutions. So this also means that the system is inconsistent.

RELATED QUESTIONS
the problem is 4n^2+25=-20x. What is the value of the discriminant and please state the... (answered by stanbon)

Okay, I am taking an online Math class and have come across all of the types of work... (answered by stanbon)

Determine if this is rational or irrational: sqrt 77 This would be rational... (answered by stanbon)

4n^2+25=-20x I need to find the value of the discriminant as well as I need to state the (answered by richwmiller)

Hello, I would like to find help in HOW to solve a quadratic equation such as the one... (answered by josgarithmetic,ikleyn)

I am helping my son with his homework and i need answers to problems to confirm they are... (answered by stanbon)

I am not even sure where to start. My problem is 2<=x<10 I am told to create two... (answered by Theo)