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balu736 [363]
3 years ago
5

How do I complete this formal check?

Mathematics
1 answer:
natima [27]3 years ago
8 0

Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.  

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Step-by-step explanation:

- (7) \times ( - 4) \\  - ( - 28) \\  -  \times  -   =  +  \\  = 28

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Solve for x PLS HELP NOW
Zepler [3.9K]

Answer:

x=70

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

<u />\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}<u />

<u />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Cross-multiply:                    0.35(x-10)=\frac{2}{3} x \cdot 0.45
  2. Distribute 0.35:                   0.35x - 3.5=\frac{2}{3} x \cdot 0.45
  3. Multiply:                               0.35x - 3.5=0.3x
  4. Isolate <em>x</em> term:                     -3.5=-0.05x
  5. Isolate <em>x</em>:                              70=x
  6. Rewrite:                               x=70

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                   \frac{0.35}{\frac{2}{3}(70) } =\frac{0.45}{70-10}
  2. Multiply:                       \frac{0.35}{\frac{140}{3}  } =\frac{0.45}{70-10}
  3. Subtract:                      \frac{0.35}{\frac{140}{3}  } =\frac{0.45}{60}
  4. Evaluate:                     0.0075=0.0075
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