Question

Solve the following equation
2x - 1/2 = 3​

Answer 1

Answer:

Valueofx=

4

7

Step-by-step explanation:

\begin{gathered} Given \: simple\: equation\:\\2x-\frac{1}{2}=3\end{gathered}

Givensimpleequation

2x−

2

1

=3

Multiply each term by 2 , we get

=> 4x-1=6

Add both sides by 1 , we get

=> 4x - 1 + 1 = 6 + 1

=> 4x = 7

\implies x = \frac{7}{4}⟹x=

4

7

Therefore,

Value \: of \: x = \frac{7}{4}Valueofx=

4

7

Verification:

\: Substitute\:x=\frac{7}{4}\:in \:the \:equation.Substitutex=

4

7

intheequation.

2\times \frac{7}{4}-\frac{1}{2}=32×

4

7

−

2

1

=3

\implies \frac{7}{2}-\frac{1}{2}=3⟹

2

7

−

2

1

=3

\implies \frac{7-1}{2}=3⟹

2

7−1

=3

\implies \frac{6}{2}=3⟹

2

6

=3

\implies 3=3 \:(True)⟹3=3(True)