Question

The coordinates of the point of intersection of the lines y = 4x - 2 and y = 7 - 2x are

Answer 1

Answer:

At a point X = 1.5 and Y = 4, the two lines will intersect

Explanation:

Given,

Two lines will intersect at the point with co-ordinates (X, Y) that will satisfy both the equations.

Hence,

y = 4x - 2 - Eq 1

y = 7 - 2x - Eq 2

Solving Eq 1 & 2, we get -

Eq 1 -Eq 2 will give

0 = 6X -9

6X = 9

X = 1.5

Y = 7 - 2*1.5 = 7-3 = 4

At a point X = 1.5 and Y = 4, the two lines will intersect