Question

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.

y=x+3

−4x+4y=28

(2 points)


5 snettes max

Answer 1

can u makre it shorter

Answer 2

so this is the answer??

Answer 3

Is this the right answer?

Answer 4

Is that the right answer?

Answer 5

To graph the system of linear equations, we need to plot the points that satisfy both equations and see where they intersect.

Starting with the first equation y = x + 3, we can find several points that satisfy this equation by selecting different values for x and calculating the corresponding values for y. For example, when x = 0, y = 0 + 3 = 3. So, one point on the graph is (0, 3). Similarly, when x = 1, y = 1 + 3 = 4. So, another point is (1, 4).

For the second equation -4x + 4y = 28, let's rewrite it in terms of y to find points on the graph. Divide both sides by 4 to get y = x + 7. Again, we can choose different x values to find corresponding y values. When x = 0, y = 0 + 7 = 7. So, one point on the graph is (0, 7). When x = 1, y = 1 + 7 = 8. So, another point is (1, 8).

Now, let's plot these points on a graph:

------------
y-axis
|
|
| * (0, 7)
| \
| \
| * (0, 3)
| \
| \
| * (1, 8)
|
|
x-axis
------------

By connecting the dots, we can see that the lines intersect at (1, 4).

This tells us that the solution to the system of linear equations is x = 1 and y = 4.

Answer 6

Sure! When graphing the system of linear equations, we can see that the two lines intersect at the point (4, 7). This indicates that the solution to the system is x = 4 and y = 7.