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Andrew [12]
3 years ago
14

An equation is shown below: 8x + 2(x - 7) = 7x + 3x - 14 Part A: Solve the equation and write the number of solutions. Show all

the steps. Part B: Name one property you used to solve this equation.
Mathematics
2 answers:
Art [367]3 years ago
8 0
8x+2(x-7)=7x+3-14\\8x+2x-14=7x+3-14~~Distributive~property\\10x-14=7x-11~combine~like~terms\\
3x-14=-11~subtract~the~7x~from~both~sides\\
3x=3~add~14~to~both~sides\\x=1~divide~both~sides~by~3
klasskru [66]3 years ago
4 0

Answer:

A) there are infinite solutions.

B) distributive property of multiplication

Step-by-step explanation:

Given the equation:

8x + 2(x - 7) = 7x + 3x - 14

To solve this, first apply the distributive property of multiplication,

8x + 2x - 14 = 7x + 3x - 14

Then, combine the similar terms,

8x + 2x -7x -3x =  -14 + 14

0 = 0

This means that any value of x satisfy the equation, that is, there are infinite solutions.

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