Question

When will these two lines intersect C. y=-2x +3y = x​

Answer 1

Answer:

The intersection point  of the given lines is  (1,1).

Step-by-step explanation:

Here, the given equations are:

y  =  - 2 x +  3

y  =  x​

Substitute y = x in  the first equation,

y   = -2 x  +  3 becomes      y =  -2 (y)  + 3

or, y + 2 y = 3

or, 3 y = 3  ⇒  y = 3/3 = 1

⇒  y =  1

Now, as x =  y ⇒ x =   1

Hence, the intersection points of the given lines is  (1,1).