Question

if (x+1,x) and (6,y-2) represent the same point in cartesian plane then find x and y​

Answer 1

Answer:

x=5 y=7

Step-by-step explanation:

since both represent same point

therefore

x+1=6

x=6-1

x=5........(i)

x=y-2 (from equation i)

5=y-2

y=5+2

y=7

Answer 2

Concept: The Cartesian System is the method through which we identify points in a plane. The number line is the source of the cartesian form. We need a good understanding of the number line in order to comprehend the cartesian coordinate system. The X-axis and Y-axis are two perpendicular lines. The two lines X and Y took together are known as the coordinate axes of the system, and the plane is known as the Cartesian, or coordinate, plane.

Given: (x+1,x) and (6,y-2) represent the same point in cartesian plane

Find: Determine x and y

Solution: The points (x+1,x) and (6,y-2) represent the same points in the cartesian plane. So,

x+1=6, and

y-2=x

This implies that

x = 6-1 = 5, and

y-2 = 5

⇒ y = 7

Hence, x=5, and y=7

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