Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3: negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five

Respuesta :

in step one, you are supposed to add 25 to both sides, because if you just subtract, it would be -5x-50=53

   Erica made the error in step 1 by subtracting 25 on each side of the equation.

  Follow the algebraic rules to get the correct steps.

Equation given in the question is,

-5x - 25 = 78

Step 1:

Add 25 on both the sides of the equation to isolate the variable 'x',

-5x - 25 + 25 = 78 - 25

Step 2:

-5x = 53

Step 3:

Divide the terms on both the sides of the equation by (-25),

[tex]\frac{-5x}{-5}=\frac{53}{-5}[/tex]

Step 4:

[tex]x=-\frac{53}{5}[/tex]

    Hence, Erica made a mistake in step 1 by subtracting 25 on both the sides of the equation instead of adding 25.

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