(3a+4b-5c)+(2a-7b-6c)+(8a-5b+9c)
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Answer:
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Step-by-step explanation:
64
Step-by-step explanation:
Simplifying
(3a + 4b + -5c) + (2a + -7b + -6c) + (8a + -5b + 9c) = 0
Remove parenthesis around (3a + 4b + -5c)
3a + 4b + -5c + (2a + -7b + -6c) + (8a + -5b + 9c) = 0
Remove parenthesis around (2a + -7b + -6c)
3a + 4b + -5c + 2a + -7b + -6c + (8a + -5b + 9c) = 0
Remove parenthesis around (8a + -5b + 9c)
3a + 4b + -5c + 2a + -7b + -6c + 8a + -5b + 9c = 0
Reorder the terms:
3a + 2a + 8a + 4b + -7b + -5b + -5c + -6c + 9c = 0
Combine like terms: 3a + 2a = 5a
5a + 8a + 4b + -7b + -5b + -5c + -6c + 9c = 0
Combine like terms: 5a + 8a = 13a
13a + 4b + -7b + -5b + -5c + -6c + 9c = 0
Combine like terms: 4b + -7b = -3b
13a + -3b + -5b + -5c + -6c + 9c = 0
Combine like terms: -3b + -5b = -8b
13a + -8b + -5c + -6c + 9c = 0
Combine like terms: -5c + -6c = -11c
13a + -8b + -11c + 9c = 0
Combine like terms: -11c + 9c = -2c
13a + -8b + -2c = 0
Solving
13a + -8b + -2c = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '8b' to each side of the equation.
13a + -8b + 8b + -2c = 0 + 8b
Combine like terms: -8b + 8b = 0
13a + 0 + -2c = 0 + 8b
13a + -2c = 0 + 8b
Remove the zero:
13a + -2c = 8b
Add '2c' to each side of the equation.
13a + -2c + 2c = 8b + 2c
Combine like terms: -2c + 2c = 0
13a + 0 = 8b + 2c
13a = 8b + 2c
Divide each side by '13'.
a = 0.6153846154b + 0.1538461538c
Simplifying
a = 0.6153846154b + 0.1538461538c
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