Which point is an exact solution to the system y = 6075x and y = 4x + 1?

To find the exact solution to the system of equations given by y = 6075x and y = 4x + 1, we can set the two equations equal to each other since they both represent y.

So we set:

6075x = 4x + 1

Next, we will rearrange the equation to isolate x. First, let’s get all terms containing x on one side:

6075x – 4x = 1

This simplifies to:

6071x = 1

Now, divide both sides by 6071:

x = 1/6071

Now that we have the value of x, we can substitute it back into either of the original equations to find y. Let’s use the first equation:

y = 6075(1/6071)

y = 6075/6071

Consequently, the point that satisfies both equations is:

(x, y) = (1/6071, 6075/6071)

This means the exact solution to the system is:

(1/6071, 6075/6071).

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