Question

Solve through substitution

–3x+3y=4


y=x+3


Can you please give me point of intersection

Answer 1

The above system of equation have NO INTERSECTION POINT.

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.