Solve through substitution

–3x+3y=4

y=x+3

can you give me point of intersection

The above system of equation have NO INTERSECTION POINT.

Step-by-step explanation:

Here, the givens system of equation are:

-3 x  + 3 y = 4

and y = x + 3

Now, for the intersection of the equations:

Put y = x + 3 in the given first equation:

-3 x  + 3 y = 4  ⇒ -3x + 3 (x+ 3)  = 4

or, - 3x  + 3x + 9  = 4

⇒ 9 = 4  which gives A CONTRADICTION as 9 ≠ 4

Hence, the above system of equation have NO INTERSECTION POINT.