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kramer
3 years ago
10

Solve the two-step equation. 3 4 (x) − 1. 72 = −6. 82 1. The first step is to on both sides. 2. The second step is to on both si

des. The solution is x =.
Mathematics
1 answer:
IgorC [24]3 years ago
7 0

The value of x is 1.5.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

<h3>Simplification</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The linear equation 3.4x - 1.72 = -6.82

<h3>To find </h3>

The value of x.

<h3>How to find the value of x?</h3>

The linear equation 3.4x - 1.72 = -6.82 is given.

Then by simplification,

The first step, add 1.72 on both side

3.4x - 1.72 + 1.72 = -6.82 + 1.72

          3.4x = -5.1

The second step, Divide both sides by 3.4

          x = -5.1/3.4

          x = -1.5

Thus the value of x is -1.5.

More about the linear system link is given below.

brainly.com/question/20379472

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ohaa [14]

Answer:

9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10).

Step-by-step explanation:

Fact:

\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

  • 9\, w^{2} is the square of 3\, w. That is: (3\, w)^{2} = 9\, w^{2}.
  • On the other hand, 10^{2} = 100.

Hence:

9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}.

Apply the fact that a^{2} - b^{2} = (a - b) \, (a + b) to factorize this expression. (In this case, a = 3\, w whereas b = 10.)

\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}.

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