Question

can anyone answer this question....​

Answer 1

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