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Q. The value of the expression (10y – 20) depends on the value of y. Verify this by giving five different values to y and finding for each y the value of (10 y – 20). From the different values of (10y – 20) you obtain, do you see a solution to 10y – 20 = 50? If there is no solution, try giving more values to y and find whether the condition 10y – 20 = 50 is met.

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(i) Let y = 2 . We have :

                       10y\ -\ 20\ =\ 10(2)\ -\ 20\ =\ 0

(ii) Let y = 3 . We have :

                       10y\ -\ 20\ =\ 10(3)\ -\ 20\ =\ 10

(iii) Let y = 4 . We have :

                       10y\ -\ 20\ =\ 10(4)\ -\ 20\ =\ 20

(iv) Let y = 5 . We have :

                        10y\ -\ 20\ =\ 10(5)\ -\ 20\ =\ 30

(v) Let y = 6 . We have :

                          10y\ -\ 20\ =\ 10(6)\ -\ 20\ =\ 40

Hence 10y - 20 depends upon y.

 

Now, consider           10y\ -\ 20\ =\ 50

Transpose  - 20 to the RHS :

                                  10y\ =\ 50\ +\ 20\ =\ 70

or                                    y\ =\ 7

Posted by

Sanket Gandhi

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