The tables represent two linear functions in a system.

what is the solution to this system?

The solution to this system is (x, y) = (8, -22).

The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).

You can extend each table after the same pattern.

In table 1, x-values increase by 2 and y-values decrease by 8.

In table 2, x-values increase by 2 and y-values decrease by 6.

The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...

... (x, y) = (8, -22)

(8,-22)

Step-by-step explanation:

Table 1)

To form equation we will use two point slope form

Formula :

Substitute the values :

---1

Table 2)

To form equation we will use two point slope form

Formula :

Substitute the values :

---2

Now we are supposed to solve 1 and 2

Substitute the value of y from 1 in 2

Substitute the value of x in 2

Hence the solution to this system is (8,-22)

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step-by-step explanation: