2y=4-6x

3y+9x+6

2y=4-6x

3y+9x+6

Tutors, sign in to answer this question.

* consistent independent*.

2. If there are infinitely many solutions, the system is

2y = 4 - 6x is an equation, but "3y + 9x + 6" is an expression.

So, if

3y = 9x + 6

the system is consistent independent.

3y + 9x = 6

the system is consistent dependent.

I'm going to assume you are asking whether there is one solution, no solution, or infinite solutions (meaning they are the same line). I am also going to assume that you meant to type 3y **=** 9x + 6, not 3y + 9x + 6.

Equation A: 2y = 4 - 6x

Equation B: 3y = 9x + 6

I would start out by putting both equations in y = mx + b form. This will help us determine if they are parallel or perpendicular or the same line. For equation A I'm going to divide everything by 2.

A: 2y = 4 - 6x -> y = 2 - 3x -> y = -3x + 2

And for equation B I'm going to divide everything by 3.

B: 3y = 9x + 6 -> y = 3x + 2

We can tell that they have the same y-intercept of 2, which means that they at least intersect once. They do not have the same slope, however, so they are not the same line. Therefore this system has only one solution.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Michael D.

Do you need help in Science? Math? Regents or SAT? Ask a Geologist!

$13.75 per 15 min

View Profile >

Theodore Z.

Let Me Help You Succeed

$12.50 per 15 min

View Profile >

Laura M.

Graduate Student Experienced in Tutoring Variety of Subjects

$11.25 per 15 min

View Profile >

## Comments

so then its consistent or inconsistent?

Since there is at least one solution, then the system is consistent.