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

Question

Jamie Odonnell

Mathematics

2 February, 13:39

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

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Answers (1)

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Stanton · Answer 1

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).