Respuesta :

arrowfighter333

Answer:

(2,13)

Step-by-step explanation:

Step 1:

Substitute [tex]y[/tex] for [tex]4x+5[/tex] in the second equation, [tex]2x+y=17[/tex]

Step 2:

With the new equation,  [tex]6x+5=17[/tex], we can subtract 5 from both sides

Step 3:

[tex]6x=12[/tex]

Divide both sides by 6

[tex]x=2[/tex]

Step 4:

Plug in 2 for x

[tex]y=4(2)+5[/tex]

[tex]y=8+5\\y=13[/tex]

Step 5:

Check our work

[tex]2(2)+13=17\\4+13=17\\17=17[/tex]

tfj422008

y = 4x + 5

2x + y = 17

2x + 4x + 5 = 17

6x + 5 = 17

6x + 5 = 17

      -5  | -5

         x = 2

Proof that x equals 2:

6x + 5 = 17

      -5  | -5

      6x | 12

       6  | 6

        x = 2

Now to figure out what y equals.

y = 4x + 5

6x + 5 = 17

-6         | -6

   x + 5 | 11

         5 | 5        11/5 = 2.2

         y = 2.2

2.2 rounded equals 2.

x = 2, y = 2

So each box should have a 2.

The answer is (2,2).

Let me know if this is the correct answer. :)