Question

5x - 4y = 1
2x + 3y = 5

Answer 1

x = 1 and y = 1.

Explanation:

Given equations are :
`5x - 4y = 1 ...... (1) and\\2x + 3y = 5 .......(2)`

Now using equation (1)

`5x - 4y = 1`

`5x = 4y + 1`

`x = (4y + 1)/(5)`

By substituting the value of x in equation 2

`2x + 3y = 5`

`2((4y + 1)/(5)) + 3y = 5`

Further solving

`(8y+ 2)/(5) + 3y = 5`

`8y + 2 + 15y = 25`

`23y = 25 - 2 = 23`

`y = 23/23 = 1`

Now substituting the value of y in x,

`x = (4y + 1)/(5)`

`x = (4 (1) + 1)/(5) = (5)/(5) = 1`