Question

if 17, 14 pen and pencil price 164 and 14,1 7 pen and pencil price is 146 the what is the price of 3 pens ??

Answer 1

17x +14y=164
14x + 17y=146
so
289x +238y=2788
196x + 238y=2044
93x=744
3x=24

Answer 2

Answer:

Cost of 3 pens = 3x 8 = 24

Step-by-step explanation:

Given,

  Cost of 17 pens and 14 pencils =164

  Cost of 14 pens  and 17 pencils = 146

Let cost of 1 pen = x and

     cost of 1 pencil = y

then the above statements can be written as

     17x+14y=164   --------(i)

     14x+17y = 146  ---------(ii)

By solving equations (i) and (ii)

multiply equation(i) with 14 and multiply equation(ii) with 17 we get

       196y-289y = (14x164) - (17x146)

                 -93y = 2296-2482

                 -93y = -186

                       y = 186/93

                       y = 2

  So, cost of 1pencil = y =2

    Now substitute value of y = 2 in equation (i)

           17x+14(2) = 164

           17x+28 = 164

                17x = 164-28

                 17x = 136

                    x = 136/17

                    x = 8

So, cost of 1 pen = 8

    Hence, Cost of 3 pens = 3x 8 = 24

Answer:

Cost of 3 pens = 3x 8 = 24

Step-by-step explanation:

Given,

  Cost of 17 pens and 14 pencils =164

  Cost of 14 pens  and 17 pencils = 146

Let cost of 1 pen = x and

     cost of 1 pencil = y

then the above statements can be written as

     17x+14y=164   --------(i)

     14x+17y = 146  ---------(ii)

By solving equations (i) and (ii)

multiply equation(i) with 14 and multiply equation(ii) with 17 we get

       196y-289y = (14x164) - (17x146)

                 -93y = 2296-2482

                 -93y = -186

                       y = 186/93

                       y = 2

  So, cost of 1pencil = y =2

    Now substitute value of y = 2 in equation (i)

           17x+14(2) = 164

           17x+28 = 164

                17x = 164-28

                 17x = 136

                    x = 136/17

                    x = 8

So, cost of 1 pen = 8

    Hence, Cost of 3 pens = 3x 8 = 24

  Know more about Linear equations:

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