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Brut [27]
3 years ago
5

Solve the equation for x 2/3x-1/9x + 5 = 20

Mathematics
2 answers:
Nady [450]3 years ago
8 0

\bold{Answer}

\boxed{\bold{X \ = \ 27}}

\bold{Explanation}

  • \bold{Solve: \ \frac{2}{3}x-\frac{1}{9}x+5=20}

\bold{--------------------------}

  • \bold{Subtract \ 5 \ From \ Both \ Sides}

\bold{\frac{2}{3}x-\frac{1}{9}x+5-5=20-5}

  • \bold{Simplify}

\bold{\frac{2}{3}x-\frac{1}{9}x=15}

  • \bold{Multiply \ By \ LCM: \ LCM \ = \ 9}

\bold{\frac{2}{3}x\cdot \:9-\frac{1}{9}x\cdot \:9=15\cdot \:9}

  • \bold{Simplify}

\bold{6x-x=135}

\bold{5x=135}

  • \bold{Divide \ Both \ Sides \ By \ 5}

\bold{\frac{5x}{5}=\frac{135}{5}}

  • \bold{Simplify}

\bold{X \ = \ 27}

\boxed{\bold{Eclipsed}}

Zinaida [17]3 years ago
7 0

Answer:

x=27

Step-by-step explanation:

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iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

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Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

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Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

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