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The equation -2.4x - 1.1 = 3.7 is solved as follows, Enter the correct numbers to complete the solution.

-2.4x - 1.1 = 3.7

-2.4x = blank Add 1.1 to both sides of the equation. If the answer is a decimal value, enter the decimal

x = blank Divide both sides of the equation by -2.4, If the answer is a decimal value, enter the decimal.

1 answer

To solve the equation \(-2.4x - 1.1 = 3.7\), we will follow the steps given:

  1. Add 1.1 to both sides of the equation:

\[ -2.4x - 1.1 + 1.1 = 3.7 + 1.1 \]

This simplifies to:

\[ -2.4x = 3.7 + 1.1 = 4.8 \]

So, we fill in the first blank with 4.8.

  1. Divide both sides of the equation by -2.4:

\[ x = \frac{4.8}{-2.4} \]

Now we calculate \(\frac{4.8}{-2.4}\):

\[ x = -2 \]

So, we fill in the second blank with -2.

The final answers are:

  • First blank: 4.8
  • Second blank: -2