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HELP PLEASE I NEED THIS QUICK!!!! SHOW WORK TOO PLS IN ANSWER

2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identity each equation as an identity, a contradiction, or neither. Hint: Remember to group like terms. (a) 5x + 9 = 2x + 7 + 3x - 15 (b) 7x + 5x - 7 = 21 + 10x (c) 24 - 3x = 8 - 2x + 16-X Answer:
(a, b, and c are different parts in the question)​. Help please quick!​ I need this fast and I'll mark Brainliest if answers are correct!​

Respuesta :

Answer:

(a) It has no solution, it is a contradiction

(b) It has one solution. it is neither an Identity nor a contradiction.

(c) It has infinite number of solutions. It is an identity because it is true for all values of x

Step-by-step explanation:

(a) 5x + 9 = 2x + 7 + 3x - 15

Step 1

We collect like terms

5x - 2x - 3x = +7 - 9 - 15

5x - 5x = +7 - 24

0x = -14

Question (a) has no solution. It is a contradiction

(b) 7x + 5x - 7 = 21 + 10x

Collect like terms

7x + 5x - 10x = 21 + 7

12x - 10x = 28

2x = 28

x = 28/2

x = 14

Question (b) has one solution and that is

x = 14. It is neither a contradiction nor an identity

(c) 24 - 3x = 8 - 2x + 16 - x

Collect like terms

24 - 8 - 16 = -2x - x + 3x

24 - 24 = 3x - 3x

0 = 0

Question (c) has infinite number of solutions. It is an identity because it is true for all values of x.

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