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Which best explains why the equation 5x+7=5(x+7)
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Which best explains why the equation 5x+7=5(x+7)

User Gabriel Meono
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1 Answer

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5x + 7 = 5(x + 7) |use distributive property: a(b + c) = ab + ac

5x + 7 = (5)(x) + (5)(7)

5x + 7 = 5x + 35 |subtract 5x from both sides

7 = 35 FALSE (it's not true! 7 is not equal 35)

Therefore, this equation has no solution.

There is no exist that value of x for which the equation would be true.

Answer: x ∈ ∅ (no solution).

User CodingBruceLee
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