Question

Solve the system of equations by graphing.

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the system of equations by graphing, we need to graph the two equations on the same coordinate plane and find the point(s) where the two lines intersect.

The first equation is y = -2x + 3. We can rewrite this equation in slope-intercept form (y = mx + b) by isolating the y variable:

y = -2x + 3

The slope of this line is -2 and the y-intercept is 3. We can plot this line on the coordinate plane:

Next, we have -2x = y + 1. We can also rewrite this equation in slope-intercept form:

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

The slope of this line is -2, and the y-intercept is -1. We can plot this line on the same coordinate plane:

Now we can see that the two lines intersect at the point (2, -1). Therefore, the solution to the system of equations is x = 2 and y = -1.

Graphing the two lines we obtain:

(IMAGE ATTACHED)

Answer 2

how many solutions tho

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion. Upon further analysis, we can see that the two lines are parallel and do not intersect.

The first equation y = -2x + 3 has a slope of -2, and the second equation y = -2x - 1 also has a slope of -2. Since the slopes are the same and the y-intercepts are different, the lines are parallel and do not intersect.

Therefore, there are no solutions to this system of equations.