We should determine such values (x,y) that satisfy both equations:
{3x−6y=10,9x+15y=−14
Let us multiply the first equation by 3 and subtract the second equation from the first:
{9x−18y=30,9x+15y=−14 , −33y=44⇒y=−34.
Next, we substitute the value of y into the first equation and obtain the value of x:
x=91(30+18y)=91(30−24)=32.
Therefore, (x,y)=(32,−34).
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