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?

9514 1404 393

  incorrect use of the distributive property in line 2

  infinite solutions

Step-by-step 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

the answer is b

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2