Question

Two lines have the equation: y + 2x = 14 and 3x = 2y. Find whether the two lines intersect or not. If they do, find the point of intersection.
[4 MARKS]

Answer 1

Concept : 1 Mark
Process : 2 Marks
Result : 1 Mark

If the two lines intersect each other, they should share a common point with each other.

Line 1: y + 2x = 14 or y = 14 - 2x
Line 2: 2y = 3x

Now,
2(14 - 2x) = 3x
Or, 28 - 4x = 3x
Or, 7x = 28
Or, x = 4
For x = 4, y = 6

Hence the point of intersection is (4,6)