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Savatey [412]
3 years ago
11

Solve the equation 3/4x+3-2x = -1/4+1/2x+5

Mathematics
2 answers:
elena55 [62]3 years ago
8 0
Hi there! The answer is x = -1

Let's solve this equation step by step!
\frac{3}{4} x + 3 - 2x = - \frac{1}{4} + \frac{1}{2} x + 5

First collect terms.
- 1 \frac{1}{4} x + 3 = \frac{1}{2} x + 4 \frac{3}{4}

Subtract (1/2)x from both sides.
- 1\frac{3}{4} x + 3 = 4 \frac{3}{4}

Subtract 3 from both sides.
- 1\frac{3}{4} x = 1 \frac{3}{4}

And finally divide by -1 3/4
x = \frac{7}{4} \div - \frac{7}{4} = \frac{7}{4} \times - \frac{4}{7} = - \frac{28}{28} = - 1
daser333 [38]3 years ago
8 0

Answer:

^^^^

Step-by-step explanation:

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saveliy_v [14]

So the steps to find the inverse are:

  1. Change f(x) to y
  2. Switch the positions of x and y
  3. Solve for y
  4. Change y to f^-1(x)

f(x)=-2+ \frac{2}{3}x\\\\y=-2+ \frac{2}{3}x\\\\x=-2+ \frac{2}{3}y

Now let's solve for y as such:

x=-2+ \frac{2}{3}y \\\\x+2=\frac{2}{3}y\\\\\frac{3}{2} (x+2)=y\\\\\frac{3}{2}x+3=y\\\\\frac{3}{2}x+3=f^{-1}(x)

<u>Your inverse is f^-1(x) = 3/2x + 3</u>

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3 years ago
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For this case we first write the equation of which we will use:
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3 years ago
What fraction has a decimal value between 1/2 and 3/4
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7 0
3 years ago
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