Determine the approximate ordered pair for f(x) = g(x). the graph of two linear functions 4 times x plus 15 times y equals 400 and 20 times x minus 4 times y equals negative 20 (26, 4) (18, 4) (4, 26) (4, 18)

(4, 26)

Step-by-step explanation:

As equations, these statements work out to:

4x + 15y = 400

20x - 4y  =   -20

First, multiply the first equation by -5, obtaining -20x - 75y = -2000.

Next, add this result to the second equation:

20x - 4y  =   -20

-20x - 75y = -2000

         -79y = -2020.  Dividing both sides by -79, we get:  y = 25.57.

Subbing 25.57 for y in the first equation, we get 4x + 15(25.57) = 400.  Solve this for x:

4x + 383.54 = 400

Solving for x, 4x = 16.46, or x = 4.11.

The solution is approximately (4.12, 25.57), or, when rounded off,

(4, 26).