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

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Solve the system of equations
5x-2y=16,

15x-7y=51

Oct 9, 2021

#1
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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

Oct 17, 2021