Question

To frame two problems of linear equation in one variable of your choice and solve such that the result of the first problem should be 79 and the next problem is 25.

Answer 1

`x + y = 79` and

`x - y = 25`

`(x,y) = (52,27)`

Explanation:

Let the variables be: x and y

The equations can be modelled as:

`x + y = 79` and

`x - y = 25`

To solve for x and y, we have:

Make x the subject in
`x - y = 25`

`x = 25 + y`

Substitute
`x = 25 + y` in
`x + y = 79`

`25 + y + y = 79`

`25 + 2y = 79`

Collect like terms

`2y = 79 - 25`

`2y = 54`

Divide both sides by 2

`y = 27`

Substitute
`y = 27` in
`x = 25 + y`

`x = 25 + 27`

`x = 52`

So, we have:

`(x,y) = (52,27)`