Question

Jenna concludes that (4,9) is the solution to the system of these two equations. which of the following justifies her conclusion?

A-the point (4,9) appears in both tables
B- only these two lines contain the point (4,9)
C-these two lines have the same rate of change
D-These two lines are perpendicular to each other

Answer 1

a. The point (4,9) appears in both tables

Step-by-step explanation:

Note: This question can be solved without the need of the tables

A solution of a system of equations is defined as a point (or set of points) that satisfy both equations

This means that, this point should belong to all the equations in the system

Now, a table is used to show a set of points that belong to a certain line

This means that, all vales in the table belong to the line they represent

Since the point (4,9) appears in both tables, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines

Hope this helps :)