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How many solutions does the equation have? How do you know?
6x – 2 = 2(3x – 1)

User Hlim
by
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1 Answer

5 votes

Answer:

infinite solutions

Explanation:

First, solve the equation.

6x - 2 = 2(3x - 1)

6x - 2 = 6x - 2

By this point, no further work needs to be done because you have your answer. If these two equations are the exact same and are equal to each other, then there is an infinite number of solutions for x.

This is what'll happen if you continue to solve for x:

6x = 6x

x = x

This is infinite because if you substitute any real number, the equation is true.

For example: 1 = 1 or 176 + 59 = 176 + 59.

User Simonwh
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