Question

find the point of intersection if x+y=6 and x-y=4
​

Answer 1

Your Answer Is (5,1)

====================================

ExplanaTion:-

Given equations:-

• ↦ x + y = 6 ---eq (1).

• ↦ x - y = 4 ---eq (2).

To Find:-

• The point pf intersection that is we have to find out the common value of x and y for both the equations.

So,

Let us Find out the common value of x and y by elimination method:-

Hence by adding eq(1) and eq(2) we get:-

↦ (x+y) + (x-y) = 6 + 4.

↦ x + y + x - y = 10.

↦ 2x = 10.

↦ x = 10/2.

↦ x = 5.

Now by putting the value of x in eq(1) we get,

↦ x + y = 6.

↦ 5 + y = 6.

↦ y = 6 - 5.

↦ y = 1.

So the required value of x and y is 5 and 1 respectively.

Therefore the point of intersection is (5,1)