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4 votes
How many solutions are there to the equation below?

7(x + 2) = 7x-10
O A. Infinitely many
O B. o
O c. 1

User Bishal Das
by
8.2k points

2 Answers

1 vote

Answer:


\boxed{\sf B. \ 0}

Explanation:


\sf 7(x + 2) = 7x-10

Expand brackets.


\sf 7x+14 = 7x-10

Subtract 7x and 14 from both sides.


\sf 7x+14 -7x-14= 7x-10-7x-14


\sf 0=-24

There are 0 solutions.

User Atiya
by
8.4k points
4 votes

Hi there! :)

Answer:

B. 0 solutions.

Explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

User Hari Babu
by
8.0k points

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