Question

5x + 2y=7
- 2x + 6y=9

Answer 1

x =
`(12)/(17)` or 0.706

`y = (59)/(34)` or 1.735

Explanation:

5x + 2y=7 ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7

15x + 6y = 21 ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x =
`(12)/(17)`

put x =
`(12)/(17)` in (eq 1)

`5*(12)/(17) + 2y = 7`

`2y = 7- 5*(12)/(17)`

`2y = (7*17 - 60)/(17)`

`2y = (119- 60)/(17)`

`2y = (59)/(17)`

`y = (59)/(17*2)`

`y = (59)/(34)`