Question

The graphs of $2x+3y-6=0,4x-3y-6=0,x=2,andy=\frac{2}{3}$ intersect in:

• A. $6$ points
• B. $1$ point
• C. $2$ points
• D. no points
• E. an unlimited number of points.

Answer 1

The correct option is B $1$ point

We are required to solve the system of equations
$2x+3y=6;4x-3y=6;x=2;y=\frac{2}{3}$.
Solve the first two simultaneously, obtaining $x=2,y=2/3$. Since these results are consistent with the last two equations, the solution is $(2,2/3)$ and (b) is the correct choice.