Question

Julio solved the equation as show below. He made a mistake and incorrectly concluded that the equation has no solution. What was Julio's mistake? What is the correct answer to the equation?​

Answer 1

9514 1404 393

Answer:

incorrect use of the distributive property in line 2

infinite solutions

Explanation:

The second line of Julio's work should read ...

-x +5x +30 = 4x +30

Julio incorrectly distributed the 5 over the contents of parentheses.

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Then the equation simplifies to ...

4x +30 = 4x +30

0 = 0 . . . . true for all x, infinite solutions