Question

Check the consistency of the system of linear equations. I f it is consistent represent the solution graphically I. x + 2y - 8 = 0 2x + 4y = 16 2. x/ 2 + y + 2/5 = 0 4x + 8y + 5 / 16 = 0

Answer 1

Answer:

We have system of equation: A:4x-5y+16=0---(1); B:2x+y-6=0---(2) For A x 0 -4 1 y 16/5 0 4 For B x 0 3 1 y 6 0 4 From solving equation (1) & (2), we get only one point (1, 4) as 4x - 5y + 16 = 04x + 2y - 1; aligned y-12=0--\\ 0 Rightarrow y=4; -7y+28=0 Rightarrow; (6 - y)/2 = (2 - 4)/2 = 1 So, the vertices are (-4,0),(1,4)\&(3,0)