Question

Explain how you would graph the system of equations and why you would use that method.

t = 5c + 35
t = 10c

Answer 1

Plot the y-intercept.

Use rise over run to get another point.

Draw a line through the two points.

Explanation:

Sample Response: I would label the horizontal axis c and the vertical axis t. I would plot the y-intercept for each equation, which would be 35 and 0. Then I would use the slope, or rate of change, to get another point on the line. From 35, I would go right 1 and up 5. From 0, I would go right 1 and up 10. I would use this method because both equations are written in slope intercept form.

Answer 2

Given the system of equations:

`t=5c+35` ....[1]

`t =10c` .....[2]

To graph the system of equation.

We graph the both equations in the same coordinate system.

Using substitution method:

Substitute equation [2] into [1] we have;

`10c = 5c+35`

We use substitution method so that we can easily eliminate t and find the value of c

The solution to the system will be the point where these two graphs are intersects

You can see the graph of the system of equation as shown below.

The solution for this system is: (7, 70)