5x-2y=16, 15x-7y=51

Hello,

 

($5x-2y=16$) and ($15x-7y=51$),

 

($x=\frac{16}{5}+\frac{2}{5}y$) and ($15x-7y=51$),

 

($15(\frac{16}{5}+\frac{2}{5}y)-7y=51$),

 

($y=-3$),

 

$x=\frac{16}{5}+\frac{2}{5}*(-3)$,

 

($x = 2$),

 

$(x,y)=(2,-3)$,

 

let us make a rehearsal,

 

$5*2-2*(-3)=16$ and $15*2-7*(-3)=51$,

 

simplify now to:

 

$16=16$ and $51=51$,

 

thus results in a true statement, whereby it applies:

 

$(x,y)=(2,-3)$,

 

Straight