Question

Solve the system of equations y=2x+1
y=4x-1

Answer 1

We are given the following system of equations:

y = 2x + 1
y = 4x - 1

To solve for x, we can set the expressions for y equal to each other:

2x + 1 = 4x - 1

Simplifying the equation, we get:

2 = 2x

x = 1

Now that we know x = 1, we can substitute this value back into either of the original equations to solve for y. Using the first equation:

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

Therefore, the solution to the system of equations is x = 1 and y = 3. In other words, the system has a unique solution (x, y) = (1, 3).

Answer 2

Answer: x=0, y=3

Explanation:

1. We can set both equations equal to each other, 2x+1=4x-1

2. From this, we get -2x=-2, so x=1

3. now we substitute this into any equation of your choosing, I'll be doing y=2x+1

4. From this, we get y=3

5. Substitute both values into the other equation to double check your answer. It works

6. x=0, y=3

Hope this helps!