Question

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

Answer 1

The equation has a real solution which is:

`x=(11)/(16)`

Explanation:

Given the equation

`2x+(1)/(4)=4x-(9)/(8)`

Solving the equation

`2x+(1)/(4)=4x-(9)/(8)`

Subtract 1/4 from both sides

`2x+(1)/(4)-(1)/(4)=4x-(9)/(8)-(1)/(4)`

Simplify

`2x=4x-(11)/(8)`

Subtract 4x from both sides

`2x-4x=4x-(11)/(8)-4x`

Simplify

`-2x=-(11)/(8)`

Divide both sides by -2

`(-2x)/(-2)=(-(11)/(8))/(-2)`

Simplify

`x=(11)/(16)`

Therefore, the equation has a real solution which is:

`x=(11)/(16)`