the cost of X pencils is rupees 50 write the algebraic expressions for the cost of each pencil please step by step explanation और आंसर आना चाहिए 150 बटा 6
Answers
Step-by-step explanation:
Let cost of pencil be Rs. x
Cost of pens be Rs. y
5 pencils and 7 pens together cost Rs. 50,
So we get
5x+7y=50
Subtract 7y both side we get
5x=50–7y
Divide by 5 we get
x=10−
5
7
y
Plug value of y which is factor of 5 to get whole number so plug y=5,10,15 we get
fory=5
x=10−
5
7
y=10−7=3
for y=10
x=10−
5
7
y=10−14=−4
fory=15
x=10−
5
7
y=10−21=−11
Therefore, the required points are (3,5),(−4,10),(−11,15).
Given that 7 pencils and 5 pens together cost Rs. 46
7x+5y=46
Subtract 7x both side we get
5y=46–7x
Divide by 5 we get
y=9.2–1.4x
Plug x=0,2,4 we get
for x=0
y=9.2–0=9.2
for x=2
y=9.2–2.8=6.4
forx=4
y=9.2–5.6=3.6
Therefore, the required points are (0,9.2),(2,6.4),(4,3.6).
The graph is as shown below:
Since the point of intersection is (3,5),
Hence, the cost of one pencil is Rs. 3 and the cost of one pen is Rs. 5
Answer:
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Step-by-step explanation: