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Mathematics
Kallie Savage
2 April, 21:13
9a - [7 - 5 (7a - 3) ]
+2
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1
)
Ariana Mcconnell
2 April, 23:29
0
a = 1/2
Step-by-step explanation:
Solve for a:
-7 + 9 a + 5 (7 a - 3) = 0
5 (7 a - 3) = 35 a - 15:
35 a - 15 + 9 a - 7 = 0
Grouping like terms, 35 a + 9 a - 15 - 7 = (9 a + 35 a) + (-7 - 15):
(9 a + 35 a) + (-7 - 15) = 0
9 a + 35 a = 44 a:
44 a + (-7 - 15) = 0
-7 - 15 = - 22:
44 a + - 22 = 0
Add 22 to both sides:
44 a + (22 - 22) = 22
22 - 22 = 0:
44 a = 22
Divide both sides of 44 a = 22 by 44:
(44 a) / 44 = 22/44
44/44 = 1:
a = 22/44
The gcd of 22 and 44 is 22, so 22/44 = (22*1) / (22*2) = 22/22*1/2 = 1/2:
Answer: a = 1/2
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