Question

If the equation is an identity or if it has no solution, write identity or no solution.

7n + 5 − 9n = 8 − 2n − 3

Answer 1

7n + 5 − 9n = 8 − 2n − 3 = true

-2 n + 5 = 5 - 2 n = true

Explanation:

Left-hand side:

Simplify the following:

7 n - 9 n + 5

Grouping like terms, 7 n - 9 n + 5 = 5 + (7 n - 9 n):

5 + (7 n - 9 n)

7 n - 9 n = -2 n:

Answer: -2 n + 5

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Right-hand side:

Simplify the following:

-2 n - 3 + 8

Grouping like terms, -2 n - 3 + 8 = (8 - 3) - 2 n:

(8 - 3) - 2 n

8 - 3 = 5:

Answer: 5 - 2 n