And the tables represent two linear functions in a system
what solution to the system?

​

The 'x' and 'y' values representing the solution of the system containing the two linear functions are;

x = -14, and y = -54

Step-by-step explanation:

From the given data table, we have;

The slope of the linear function on the left, 'm', is given as follows;

∴ m = (14 - (-22))/(3 - (-6)) = 4

Therefore, the equation in point and slope form we have;

y - 14 = 4·(x - 3)

y = 4·(x - 3) + 14

Similarly for the second linear function on the right, we have;

m = (-3 - (-30))/(3 - (-6)) = 3

Therefore, the equation in point and slope form we have;

y - (-3) = 3·(x - 3)

y = 3·(x - 3) - 3

Equating both 'y' values gives;

4·(x - 3) + 14 = 3·(x - 3) - 3

4·x + 2 = 3·x - 12

4·x - 3·x = x = -12 - 2 = -14

x = -14

y = 4·(x - 3) + 14 = 4 × (-14 - 3) + 14 = - 54

y = -54

Therefore, the solution of the system containing the two linear functions is x = -14, and y = -54

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

good luck on your studies! : )

david edward.