Question

3x+10y=13
4(-2y+x)-9x=13

Answer 1

`x=-9`

`y=4`

Explanation:

`3x+10y=13` ← Equation 1

`4(-2y+x)-9x=13\\`

By simplifying the above equation we get,

`-8y+=4x-9x=13` (Simplifying the brackets)

`-8y-5x=13` (By subtracting
`-9x` from
`+4x`) ← Equation 2

Multiply Equation 1 by 5 and Equation 2 by 3 and add them together.

Equation 1 multiplied by 5 will give,

`15x+50y=65`

Equation 2 multiplied by 3 will give,

`-24y-15x=39`

Add those together,

`15x+50y-24y-15x=65+39`

`26y=104` (After simplifying
`x` values)

Therefor
`y=4`

By substituting
`y=4` to Equation 1 we get,

`3x+10*4=13`
`3x+40=13\\3x=-27\\x=-9`

Therefor we can say,

`x=-9`

`y=4`