can anyone answer this question....
Answers
Answer:
Step-by-step explanation:
For a graph to be consistent it has to have either infinite number of solution or one unique solution
3x - 2y + 2 = 0 ....... (i)
3/2x - y + 3 = 0 ........ (ii)
for them to have infinite/unique solution they have to be either coincident lines or intersecting lines
a1 = 3, b1 = -2, c1 = 2
a2 = 3/2, b2 = -1, c2 = 3
a1/a2 = b1/b2 ≠ c1/c2
3/(3/2) = -2/-1 ≠ 2/3
This shows that the lines are parallel and have no solution. Thus they are inconsistent.
reform equation (i)
x = 2y -2/3
for it to lie on Y-axis, x = 0
0 = 2y -2
2y = 2
y = 1
therefore point where the graph of equation (i) will meet Y-axis is (0,1)
Reform equation (ii)
2(y-3)/3 = x
again x is 0
2(y-3) = 0
y = 3
therefore point where the graph of equation (ii) will meet Y-axis is (0,3)
Hope this helps