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Georgia [21]
3 years ago
6

2x+1/4=4x-9/8 Is it a no solution or real

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0

Answer:

The equation has a real solution which is:

x=\frac{11}{16}

Step-by-step explanation:

Given the equation

2x+\frac{1}{4}=4x-\frac{9}{8}

<u>Solving the equation</u>

2x+\frac{1}{4}=4x-\frac{9}{8}

Subtract 1/4 from both sides

2x+\frac{1}{4}-\frac{1}{4}=4x-\frac{9}{8}-\frac{1}{4}

Simplify

2x=4x-\frac{11}{8}

Subtract 4x from both sides

2x-4x=4x-\frac{11}{8}-4x

Simplify

-2x=-\frac{11}{8}

Divide both sides by -2

\frac{-2x}{-2}=\frac{-\frac{11}{8}}{-2}

Simplify

x=\frac{11}{16}

Therefore, the equation has a real solution which is:

x=\frac{11}{16}

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Step-by-step explanation:

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