Question

a rational number x such that whenn we multiplied by 3/4 and added 5 then it becomes 1/2. find the rational number​

Answer 1

Answer:

The required rational number is -6

Step-by-step explanation:

$\frac{3}{4} x + 5 = \frac{1}{2} \\ \frac{3}{4} x = \frac{ - 9}{2} \\ x = \frac{ - 9}{2} \times \frac{4}{3} = - 3 \times 2 = - 6$

Answer 2

Question :-

a rational number x such that whenn we multiplied by 3/4 and added 5 then it becomes 1/2. find the rational number.

Answer :-

• The rational number is -6.

Step by step explanation :-

Given conditions are :

• a rational number is x.
• when we multiplied by 3/4 and added 5 then it becomes 1/2.

We'll write all conditions in linear equation.

$\rm\longrightarrow{x \times \frac{3}{4} + 5 = \frac{1}{2} }$

Now, we solve it.

$\rm\longrightarrow{x \times \frac{3}{4} + 5 = \frac{1}{2} }$

Also can be written as,

$\rm\longrightarrow{ \frac{3x}{4} + 5 = \frac{1}{2} } \: \: \: \: \: \: \: \\ \\ \rm\longrightarrow{ \frac{3x + 20}{4} = \frac{1}{2} } \: \: \: \: \: \: \\ \\\rm\longrightarrow{3x + 20 = \frac{1}{2} \times 4} \: \\ \\ \rm\longrightarrow{3x + 20 = \cancel\frac{4}{2} } \: \: \: \: \: \: \: \: \\ \\ \rm\longrightarrow{ 3x + 20 = 2} \: \: \: \: \: \: \: \: \: \\ \\ \rm\longrightarrow{3x = 2 - 20} \: \: \: \: \: \: \: \: \: \\ \\ \rm\longrightarrow{3x = - 18} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm\longrightarrow{x = \frac{ - 18}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm\longrightarrow \boxed { \rm x = - 6} \: \: \: \: \: \: \: \: \: \: \: \: \:$

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