i need to find the solution for y= 2x-1 and 3x-y=-1

Tutors, sign in to answer this question.

Marked as Best Answer

y = 2x-1 ......(1)

Solving for y from 3x-y = -1 leads to,

y = 3x+1 ......(2)

Substituting (1) into (2)

2x-1 = 3x+1

So,

x = -2, y = 2x-1 = -2*2-1 = -5

Answer: (-2, -5)

I assume you are asking for the solution of the system. Then, the solution is the (x, y) pair that is a solution to BOTH equations. Hence, the y value is the same at that point. Let's solve each equation for y:

y = 2x - 1 and y = 3x + 1

Since the y values are the same in each case, by substitution

2x - 1 = 3x + 1

Then, subtracting 2x and 1 from each side, we have

-2 = x.

Substituting this value of x, we get y = 2(-2) - 1 and y = 3(-2) + 1. This yields y = -5 in each case.

Let's check.

2(-2) - 1 = -4 - 1 = -5 and 3(-2) + 1 = -6 + 1 = -5

y = 2x − 1

3x − y = − 1

In second equation let's replace "y" by "2x - 1"

3x - (2x - 1) = - 1

3x - 2x + 1 = - 1

x + 1 = - 1

- 1 - 1

Now, in first equation, let's replace "x" by "- 2"

y = 2*(- 2) - 1

The answer is the pair of numbers

Let's verify the answer:

-5 = -5

-6 + 5 = -1

-1 = -1

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.

## Comments