222k views
4 votes
Show that x²+2xy-35y²+4x+44y-12=0 and 5x+2y-8=0 are concurrent

User Cyperpunk
by
8.5k points

1 Answer

4 votes

Final answer:

To show that the equations x²+2xy-35y²+4x+44y-12=0 and 5x+2y-8=0 are concurrent, we need to find a point that satisfies both equations. We can solve these equations simultaneously to find the coordinates of the point of concurrency.

Step-by-step explanation:

To show that the equations x²+2xy-35y²+4x+44y-12=0 and 5x+2y-8=0 are concurrent, we need to find a point that satisfies both equations. We can solve these equations simultaneously to find the coordinates of the point of concurrency.

First, let's solve the second equation for x in terms of y: 5x = 8 - 2y, x = (8 - 2y)/5.

Substitute this value of x into the first equation to solve for y: ((8 - 2y)/5)² + 2((8 - 2y)/5)y - 35y² + 4((8 - 2y)/5) + 44y - 12 = 0. Simplify this equation and solve for y to find the y-coordinate of the point of concurrency.

Learn more about Point of concurrency

User Remya Thekkuvettil
by
8.5k points

Related questions