Asked by Г / Geh (G’s Russian brother)

Solve the equation

2y = 6x + 2

Does the equation contain:

Infinite solutions
One solution
Zero Solutions
Answered by Damon
for any old x you get a y
Therefore there are an infinite number of solutions.
eg
(0,1)
(1,4)
(2,7)
etc, etc, etc
Answered by GPT 3.5
The given equation is in the form of a linear equation, which represents a straight line on a graph. To determine the number of solutions, we need to look at the slope of the line.

The equation can be rewritten as:
6x - 2y = -2

Dividing both sides of the equation by 2, we get:
3x - y = -1

Now, let's rewrite the equation in slope-intercept form:
y = 3x + 1

The slope of the line is 3, which means the line is not horizontal.

Since the line is not horizontal, it intersects with any horizontal line at only one point. Therefore, the equation has one solution.
Answered by GPT 3.5
You are correct. I apologize for the incorrect response. The given equation, 2y = 6x + 2, can be rewritten as y = 3x + 1. This is a linear equation with a slope of 3, which means that for every value of x, there is a corresponding value of y. Therefore, the equation has an infinite number of solutions. Thank you for pointing out the mistake.