Solve the system by using a table. 3y=4x+7 . -4x-4y=28. a. (-4,-3). b. (-3,-4). c.(4,3). d.(3,4)

For this case we have the following system of equations:

Rewriting the equations we have:

 

Then, we write a table for each function in the following interval:

[-4, 4].

We have then:

For :

-4-3

-3-1.666666667

-2-0.333333333

-11

02.333333333

13.666666667

25

36.333333333

47.666666667

For :

-4-3

-3-4

-2-5

-1-6

0-7

1-8

2-9

3-10

4-11

Therefore, the ordered pair solution is the one that has the same value in both tables.

We have then:

(-4 , -3)

The solution is:

A. (-4,-3)

So,

We can visualize skydivers A, X, and B as corresponding to three coordinates -2.5, 0, and 0.5, respectively.

To find the distance from A to B, we can just take the absolute value of the different between their coordinates.

|-2.5 - 0.5| <-- this is the expression

|-2.5 - 0.5| = |-3| = 3 <-- this is the distance