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