Question

The number of men is 5 more than twice the number of women. Write a linear equation in two variables by taking number of men as 'y' and number of women as 'x'

Answer 1

❏ Answer:

Linear equation is y = 2x + 5

$\rule{100}2$

❏ Step-by-step explanation:

→ The number of men is 5 more than twice the number of women.

As said in question, we have to take or assume men as y and women as x.

So, number of 'y' men is 5 more than twice (two times) the number of women 'x'.

• Condition 1)

Men is twice the women

$\implies\:\sf{y\:=\:2(x)}$

$\implies\:\sf{y\:=\:2x}$

• Condition 2)

Number of men is five more than the number of women.

If, we add five in the number of women then both become equal.

$\implies\:\sf{y\:=\:x\:+\:5}$

Coming back to question again.

Number of men is five more than the number of women.

From above we get,

$\rightarrow\:\sf{y\:=\:2x\:+\:5}$

Where, y = number of men and x = number of women.

$\rule{150}2$

If we given in question that, the number of men is 5 more than twice the number of women. And number of women is 10. Then find the number of men.

Then it becomes like..

We have linear equation is y = 2x + 5.

What we have to do is.. simply substitute the value of women in above equation i.e. 10.

$\implies\:\sf{y\:=\:2(10)\:+\:5}$

$\implies\:\sf{y\:=\:20\:+\:5}$

$\implies\:\sf{y\:=\:25}$

Then, number of men will be 25.

Answer 2

Step-by-step explanation:

Given,

Take number of men as 'y'

And Take number of women as 'x'

To find: The linear equation in two variables.

According to the question,

1) The number of men is 5 more

=> 5+ ----------- Equation (1)

2) Twice the number of women

=> 2x ------------- Equation (2)

Adding both equations, we get

=> 5+2x

What are we supposed to write as the answer has to be written : We are supposed to write the number of men as our answer.

So,

=> 5+2x = y.

Therefore, The linear equation is 5+2x = y.

[Note: If the value of the women is given in the question, then I would find the no.of men, but it was not given in the question, so I didn't find the no.of men.]