Question

5-10x + 5y = 15
1 9x + 3y = -6

Answer 1

`x= -(12)/(25)`

`y= (26)/(25)`

Step-by-step explanation:

5-10x + 5y = 15

1 9x + 3y = -6

To solve these two equations simultaneously:

`5y - 10x =10` ; divide by 5

`y - 2x =2`

`y =2 + 2x` ; Taking 2x to the other side.

Substituting for y in the other equation

`19x + 3y = -6`

`19x + 3 * (2 + 2x)= -6`

`19x + 6 + 6x = -6`

`25x = -12` ; Making necessary commutations.

`x= -(12)/(25)`

Substituting this in
`y =2 + 2x` to find y

`y =2 + 2 * (-(12)/(25))`

`y= (26)/(25)`