Math, asked by blue825, 1 year ago

x/2+0.75x= 2x/3 = (x+1)/2​

Answers

Answered by pinquancaro
7

Answer:

The value of the expression is x=6.

Step-by-step explanation:

Given : Expression \frac{x}{2}+0.75x-\frac{2x}{3}=\frac{x+1}{2}

To find : Solve the expression  ?

Solution :

\frac{x}{2}+0.75x-\frac{2x}{3}=\frac{x+1}{2}

Cross multiply,

\frac{2\times x}{2}+0.75x\times 2-\frac{2x\times 2}{3}=x+1

x+1.5x-\frac{4x}{3}=x+1

\frac{3x+1.5x\times 3-4x}{3}=x+1

3x+4.5x-4x=3x+3

0.5x=3

x=\frac{3}{0.5}

x=6

The value of the expression is x=6.

Answered by slicergiza
3

Answer:

6

Step-by-step explanation:

Given expression,

\frac{x}{2}+0.75x = \frac{2x}{3}+\frac{x+1}{2}

\frac{x}{2}+\frac{75}{100}x=\frac{4x+3x+3}{6}

\frac{x}{2}+\frac{3}{4}x=\frac{7x+3}{6}

\frac{2x+3x}{4}=\frac{7x+3}{6}  ( Adding fractions )

\frac{5x}{4}=\frac{7x+3}{6}

30x = 28x + 12  ( cross multiplication )

30x-28x = 12   ( Subtraction property of equality )

2x=12

\implies x = \frac{12}{2}=6  ( division property of equality )

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