Question

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

Answer 1

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

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).