Question

17x-3y=4 2x-4y=1 the solution to the system of equations is

Answer 1

`x=(13)/(62)`

and

`y= (-9)/(62)`e have

Step-by-step explanation

`17x-3y=4---(1)`

`2x-4y=1`

Let us make y the subject and call it equation (2)

`2x=1+4y`

`x=(1)/(2)+2y--(2)`

We put equation (2) in to equation (1)

`17((1)/(2)+2y)-3y=4`

`(17)/(2)+34y-3y=4`

`34y-3y=4- (17)/(2)`

Simplify to get,

`31y= (8-17)/(2)`

`31y= (-9)/(2)`

Divide both sides by 31,

`y= (-9)/(2) / 31`

`y= (-9)/(2) * (1)/(31)`

`y= (-9)/(62)`

We put this value in to equation (2) to get,

`x=(1)/(2)+2* -(9)/(62)`

`x=(1)/(2) -(18)/(62)`

We collect LCM to obtain,

`x=(31-18)/(62)`

`x=(13)/(62)`