Question

which system of equations generates two lines the intersect at the point (6,2)Question 7

Answer 1

If two lines intersect at a point hten that point will satisfy the equation of both the lines.

Given data:

The lines intersect at (6,2).

Now let us check one by one which pair of equations are true for this point.

Now for option (A) we have,

$-6+5(2)=-6+10=4\ne-16$

So option (A) is not correct.

Now for option (B) we have,

$9(6)-2(2)=54-4=50\ne-21$

So option (B) is also not correct.

Now let us solve for otion (C)

$\begin{gathered} -5(6)+9(2)=-30+18=-12 \\ 3(6)+2(2)=18+4=22 \end{gathered}$

So, the equation in optin (C) are true for this point.

So, the correct otion is (C).