Solve the following system of linear equations by graphing. Graph on your own piece of paper. In your submitted answer, describe what the graph looks like and what this tells you about the solution to the system of linear equations. Please make it simple and to the point. Intended for 8th grade.

y=x+3
−4x+4y=28

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To solve this system of linear equations by graphing, we start by making a table of values for each equation and plotting the points on a graph.

For the first equation y=x+3, if we put x=0, y=3. So the first point is (0, 3). If we put x=1, y=4. So the second point is (1, 4).

For the second equation -4x+4y=28, if we put x=0, y=7. So the third point is (0, 7). If we put x=1, y=8. So the fourth point is (1, 8).

After plotting the points and connecting them, we see that the two lines intersect at the point (4, 7). This tells us that the solution to the system of linear equations is x=4 and y=7.