Question

Could someone plz help with this :(

Answer 1

(28, 3 )

Explanation:

`(1)/(5)` x - 2y = -
`(2)/(5)` ( multiply through by 5 to clear the fractions )

x - 10y = - 2 → (1)

`(1)/(4)` x +
`(1)/(3)` y = 8 ( multiply through by 12 to clear the fractions )

3x + 4y = 96 → (2)

add 10y to both sides in (1)

x = 10y - 2 → (3)

Substitute x = 10y - 2 into (2)

3(10y - 2) + 4y = 96

30y - 6 + 4y = 96

34y - 6 = 96 ( add 6 to both sides )

34y = 102 ( divide both sides by 34 )

y = 3

Substitute y = 3 into (3)

x = 10(3) - 2 = 30 - 2 = 28

solution is (28, 3 )