Question

prove that the line y - x = 3 and 3x - 3y + 5 = 0 represent one and same line​

Answer 1

The point of intersection of lines y=3x(black line) and x=3y(brown line) must satisfies both the equation.

From the graph, we can see that solution is (0,0).

Hence the point of intersection of given lines is at origin i.e. (0,0).

Step-by-step explanation:

Hope it will help to solving this

Answer 2

Answer:

Write in the form y=mx+c

y-x=3 can be written as

y=x+3

slope of this line=1/1=1

3x-3y+5=0 can be written as

3y=3x+5

slope of this line=3/3=1

Since the slopes of the lines are equal, both the lines are parallel.

But since the values of c are different, so lines will not be the same or lie one above the other.