Question

6x-4y=-15 and x-4y=1

Answer 1

The solution to the given system of equations is

(
`-(16)/(5)`,
`-(21)/(20)`)

Explanation:

Given system of equation are

`6x-4y=-15\hfill (1)`

`x-4y=1\hfill (2)`

To solve equation by using elimination method

Now subtracting equations (1) and (2)

`6x-4y=-15`

`x-4y=1`

_________________

5x=-16

`x=-(16)/(5)`

Substitute
`x=-(16)/(5)` in equation (1)

`6(-(16)/(5))-4y=-15`

`-(96)/(5)-4y=-15`

`-4y=-15+(96)/(5)`

`-4y=(21)/(5)`

`y=-(21)/(20)`

Therefore the solution is

(
`-(16)/(5)`,
`-(21)/(20)`)