Question

2+5xi-3y=14+3x-5yi.Find x and y​

Answer 1

Question:

`5x-3y=14`

`3x-5y=2`

Find x and y

Answer:

`x = 4`

`y =2`

Explanation:

Given

`5x-3y=14` -- (1)

`3x-5y=2` -- (2)

Required

Find x and y

We'll solve this using elimination method.

Multiply (1) by 3 and (2) by 5 to eliminate x

(
`5x-3y=14`) * 3

(
`3x-5y=2`) * 5

-------------------------------

`15x - 9y = 42`

`15x - 25y =10`

Subtract

`15x - 9y = 42`

- (
`15x - 25y =10`)

-----------------------

`15x - 15x - 9y + 25y = 42 - 10`

`- 9y + 25y = 42 - 10`

`16y = 32`

Make y the subject

`y = (32)/(16)`

`y =2`

Substitute 2 for y in
`5x-3y=14`

`5x - 3 * 2 = 14`

`5x - 6 = 14`

Collect Like Terms

`5x = 14+6`

`5x = 20`

Make x the subject

`x = (20)/(5)`

`x = 4`