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Find the point of intersection of the lines $9x-y+8=0$ and $7x-y-10=0$.Answer
If the point $P(x,y)$ is the point of intersection, the coordinates $x$ and $y$ must satisfy the two equations
Subtracting one equation from the other, we get
Substituting the value of $y$ in the first equation, we get
The point of intersection is $\left(-9,-73\right)$.