find X and Y if (x+3,5)=(6,2x+y)
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Answers
Answered by
2
x+3=6
x=3
2x+y=5
put x=3
y=-1
Answered by
4
Solution:-
Let P(x+3,5) and Q(6,2x+y) be the given points.
Given that,
P(x+3,5)=Q(6,2x+y)
On comparing,we deduce:
x+3=6 and 2x+y=5
Now,
x+3=6
=>x=6-3
=>x=3
Also,
2x+y=5
=>2(3)+y=5.
=>y=6-5
=>y=-1
Hence, (x,y)=(3,-1)
Let me clarify some concepts,
Cartesian Plane:
A cartesian plane is a system of coordinates that expresses numbers uniquely.
→ A co-ordinate is a set of two numbers
→Origin of point of intersection of x axis& y axis and has coordinates (0,0)
→The x axis also known as abscissa,is the horizontal line in the Cartesian Plane
→The Y axis also known as ordinate,is the vertical line of the same
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