Respuesta :

Answer:

x=4

y=10

Step-by-step explanation:

Look at (29x–3) and (15х+7). Those two added together equal 180. 29x+15x=44x, and 7–3=4, so the equation is 44x+4=180.

44x+4=180

      –4     –4

44x=176

/44   /44

x=4

Next, solve (29x–3) and (15х+7).

15(4)+7=67.

29(4)–3=113

113+67=180, so both are correct.

Now, because of the alternate exterior rule, we know that (29x–3) and (13y-17) equal the same amount. Since we know that (29x–3) equals 113, that means that 13y–17=113

13y–17=113

    +17  +17

13y=130

/13   /13

y=10

And just to make sure, we check the equation to make sure it's correct.

13(10)–13=117 is correct.