Question

3a+4b-5c)+(2a-7b-6c)+(8a-5b+9c)​
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Answer 1

Answer:

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

Step-by-step explanation:

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