Question

Solve the following Systems of Linear Equations by graphing. Graph the equations.

In your submitted answer, describe what the graph looks like, and what this tells you about the solution to this System of Linear Equations.

x + y = 3

6x = -6y + 18

A The lines are parallel. No solution.The lines are parallel. No solution.
B The lines intersect at 1 point. The solution is the point (0,3).The lines intersect at 1 point. The solution is the point (0,3).
C The lines coincide. There are infinite solutions.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To graph the first equation, x + y = 3, we can rearrange it to y = -x + 3 and plot the y-intercept of 3 and the slope of -1.

To graph the second equation, 6x = -6y + 18, we can rearrange it to y = x - 3 and plot the y-intercept of -3 and the slope of 1.

When we plot both equations on the same graph, we see that the lines intersect at the point (0,3). This tells us that the solution to this system of linear equations is the point (0,3). Therefore, the correct answer is B: The lines intersect at 1 point, and the solution is the point (0,3).