Question

5pencils & 7pens together cost ₹50, whereas 7pencils & 5pens together cost ₹ 46. Find the cost of 1pencil & that of 1pen. solve if graphically​

Answer 1

Answer:

Let pencil be x and let pen be y

5x+7y=50

7x+5y=46

multiply first equation by 7

35x+49y = 350

multiply second equation by 5

35x+25y=230

solving them we get 24y=120 which gives y is 5 rupees

substituting in second equation we get x is 3 rupees

bellow is the graph

Step-by-step explanation:

Answer 2

Answer:

let pencil be x and pen be y

5x + 7y = 50 ------. 1

7x + 5y = 46 ------ 2

5x = 50 - 7y

x. =. 50 - 7y / 5

x. =. 10 - 7y

by substituting value of x in equations 2

10 - 7y + 7y = 46

10 = 46

y =. 46 / 10

y =. 13 / 5

y = 2.5

by substituting value of y in equations 1

5x + 7y = 50

5x + 7( 2.5) = 50

5x + 7.35 = 50

5x = 50 - 7.35

5x = 42.75

x. =. 42.75/5

x = 8.23

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