Question

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

Answer 1

Answer:

The equation has a real solution which is:

$x=\frac{11}{16}$

Step-by-step explanation:

Given the equation

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

Solving the equation

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

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:

$x=\frac{11}{16}$