Respuesta :

Answer:

apple = 4

blackberry =5

Step-by-step explanation:

Let a = apple pie cost

b =blackberry pie cost

4a +9b = 61

7a +6b = 58

Multiply the first equation by 7

7(4a +9b) = 61*7

28a +63b = 427

Multiply the second equation by -4

-4(7a +6b) = 58*-4

-28a -24b = -232

Add these two new equations together to eliminate a

28a +63b = 427

-28a -24b = -232

-----------------------------

0a +39b =195

Divide each side by 39

39b/39 = 195/39

b= 5

Now we need to find a

4a +9b = 61

4a +9(5) = 61

4a +45 = 61

4a+45-45 =61-45

4a = 26

Divide by 4

4a/4 =16/4

a = 4

[tex]4a +9b = 61=>4a=61-9b=>a=(61-9b)/47\\a +6b = 58\\[/tex]

7(61-9b)/4 + ⁴⁾6b = ⁴⁾58

427 - 63b + 24b = 232

427 - 232 = 63b - 24b

39b = 195

b = 5

7a + 6×5 = 58

7a = 58 - 30

7a = 28

a = 4

Answer:

a = 4

b = 5