Question

To solve an equation, use the properties of equality. What is the first step to solving 3. 7x – 15. 9 = 2. 97? Subtract 15. 9 from both sides because it is the inverse operation of addition. Add 15. 9 to both sides because it is the inverse operation of subtraction. Divide 15. 9 on both sides because it is the inverse operation of multiplication. Multiply 15. 9 on both sides because it is the inverse operation of division.

Answer 1

Answer:

  (b)  Add 15.9 to both sides because it is the inverse operation of subtraction

Step-by-step explanation:

The goal of the solution process for an equation is to get to the form ...

  variable = constant

Generally, you're starting from the form ...

  (operations on variable) = (operations on variable)

The solution process is one of "undoing" the operations in such a way as to obtain the desired form. In general, that means using inverse operations.

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The given equation has a single variable term on one side of the equal sign, which is what we want. However, it has an added constant, which is what we don't want. We undo that addition of -15.9 by adding its opposite, 15.9. The properties of equality tell us we can only keep the equal sign valid if we do that operation (add 15.9) to both sides of the equation.

The first step in the solution is to add 15.9 to both sides of the equation.

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The solution looks like ...

  3.7x -15.9 = 2.97

  3.7x -15.9 +15.9 = 2.97 +15.9 . . . . . add the opposite of -15.9

  3.7x = 18.87

  (3.7x)/3.7 = 18.87/3.7 . . . . . multiply by the reciprocal of 3.7

  x = 5.1

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Additional comment

When we add a negative number, we usually call that subtracting the positive value of that number. Adding -15.9 is called subtracting 15.9, for example.

When we multiply by a unit fraction, we usually call that division by the fraction's denominator. Multiplying by 1/3.7 is called dividing by 3.7, for example.

The point of inverse operations is to get you the identity element for that operation. Adding an opposite gives a sum of 0, the identity element for addition. (-15.9 +15.9 = 0) Multiplying by a reciprocal gives a product of 1, the identity element for multiplication. (3.7/3.7 = 1)

These ideas generalize to more complicated operations, including operations on collections of data.

Answer 2

The correct option is B which is Add 15. 9 to both sides because it is the inverse operation of subtraction.

The solution of the equation is 5.1.

Given

Equation;  3. 7x – 15. 9 = 2. 97

The inverse operation of subtraction

Subtracting and adding the same number have the effect of cancelling each other out.

To solve the equation follow all the steps given below.

Add 15. 9 to both sides because it is the inverse operation of subtraction.

$\rm 3. 7x - 15. 9 = 2. 97\\\\ 3. 7x - 15. 9+15.9 = 2. 97+15.9\\\\3.7x=18.87\\\\x=\dfrac{18.87}{3.7}\\\\x=5.1$

Hence, the solution of the equation is 5.1.

To know about the inverse operation of subtraction click the link given below.

https://brainly.com/question/10183318