What is the solution to the rational equation x over 2x plus 1 minus 1 over 4 equals 2 over 2x plus 1

1 answer:

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We want to solve
$\frac{x}{2x+1} - \frac{1}{4} = \frac{2}{2x+1}$

Subtract 2/(2x+1) from each side.
$\frac{x}{2x+1} - \frac{2}{2x+1y} - \frac{1}{4} = 0$

Add 1/4 to each side, and simplify the left side.
$\frac{x-2}{2x+1} = \frac{1}{4}$

Cross multiply.
4(x - 2) = 1(2x + 1)
4x - 8 = 2x + 1

Simplify and solve for x.
4x - 2x = 1 + 8
2x = 9
x = 9/2 or x = 4 1/2.

Answer: $x = \frac{9}{2} \,\, or \,\, x = 4 \frac{1}{2}$

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Semmy [17]

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Figure 2 and figure 4

Yes I agree with Tyler

C
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Step-by-step explanation:

Figures 2 and 4 are not slanted which changes the original form, unlike the others.

I agree with Tyler because the size is not only smaller but it says that it was scaled by 2 more centimeters than the original figure.

I believe its the others because the other one is scaled upwards unlike the rest.

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