the cost of the pen is thrice the cost of the pencil. also 2 pens and 3 pencils together cost rupees 45. represent the above statement by two linear equations in two variables.
Answers
Answered by
13
Let cost of pen= x rs
Let cost of pencil= y rs
According to 1st condition
X=3y
i.e. x-3y =0
According to 2nd condition
2x+3y=45
i.e. 2x+3y-45=0
These are req. Equations
Let cost of pencil= y rs
According to 1st condition
X=3y
i.e. x-3y =0
According to 2nd condition
2x+3y=45
i.e. 2x+3y-45=0
These are req. Equations
Answered by
5
Let, cost of
• pencil = x
• pen = y
××××××××××××××××××××××
Cost of pen = 3× cost of pencil
y = 3× x
y = 3x -----1equation
================
According to the question,
Cost of 2pens + cost of 3pencils = 45
2(y) + 3(x) = 45
2y + 3x = 45
Putting the value of 3x from 1equation
2y + y = 45
3y = 45
y = 45/3
y =15
Putting the value of y in 1equation,
y = 3x
15 = 3x
15/3 = x
5 = x
====================
Cost of pencil = x = ₹5
Cost of pen = y = ₹15
I hope this will help you
(-:
• pencil = x
• pen = y
××××××××××××××××××××××
Cost of pen = 3× cost of pencil
y = 3× x
y = 3x -----1equation
================
According to the question,
Cost of 2pens + cost of 3pencils = 45
2(y) + 3(x) = 45
2y + 3x = 45
Putting the value of 3x from 1equation
2y + y = 45
3y = 45
y = 45/3
y =15
Putting the value of y in 1equation,
y = 3x
15 = 3x
15/3 = x
5 = x
====================
Cost of pencil = x = ₹5
Cost of pen = y = ₹15
I hope this will help you
(-:
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