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The equation 3x + 4 = 5x - 4 has the solution set {4}.

a. Explain why the equation (3x + 4) + 4 = (5x - 4) + 4 also has the solution set {4}.

User Ekeko
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1 Answer

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Answer:

Why the equation (3x + 4) + 4 = (5x - 4) + 4 also has the solution set {4}.

It´s because 4 is the only value that satisfies the statement.

Explanation:

As you can see the terms in parentheses on both sides of the equation are added to 4.

(3x + 4) + 4 = (5x - 4) + 4

So we can set the equation as.

3x + 4 = 5x - 4

Subtract 3x on both sides of equation.

4 = 2x - 4

Add 4 on both sides of equation.

8 = 2x

Divide both sides of equation by 2.

4 = x

4 is the only value that satisfies the statement.

User Sajal
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