5n + 7 = 7(n+1) - 2n

First distribute 7 to all terms inside the parenthesis

7(n) = 7n
7(1) = 7

5n + 7 = 7n - 2n + 7

Simplify. Combine like terms

5n + 7 = 5n + 7

True.

If you want to continue:

Isolate the n, move all variables to one side, and constants to the other

5n (-5n) + 7 (-7) = 5n (-5n) + 7 (-7)

0 = 0

True

hope this helps

6 0

3 years ago

Read 2 more answers

A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures

Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9$

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}$

8 0

3 years ago