Question

Find the number of points at which line representing, X+y = 3 , 3x-5y = 5, intersect.

Answer 1

SOLUTION

TO DETERMINE

The number of points at which line representing x + y = 3 , 3x - 5y = 5, intersect.

EVALUATION

Here the given equation of lines are

x + y = 3 - - - - - (1)

3x - 5y = 5 - - - - - (2)

5 × Equation 1 + Equation 2 gives

8x = 20

⇒ x = 2.5

From Equation 1 we get

y = 3 - 2.5 = 0.5

So the solution is x = 2.5 & y = 0.5

Since the solution is unique

So the given pair of lines intersect at only one point and the point is (2.5 0.5)

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