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.
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