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