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Sophie [7]
3 years ago
11

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

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0
Notice that 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.
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