Q. 3.     Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

            (a) 5m=60                    (10,5,12,15)

            (b)n+12=20              (12,8,20,0)

             (c) p-5=5                  (0,10,5,-5)

             (d) \frac{q}{2}=7                          (7,2,10,14)

             (e) r-4=0                  (4,-4,8,0)

            (f) x+4=2                    (-2,0,2,4)

Answers (1)

   (a) 5m=60

Putting given values in LHS.

5\times 10=50                                            5\times 12=60

\therefore LHS\neq RHS                                  \therefore LHS= RHS

m = 10 is not a solution.                             m = 12 is a solution.

5\times 5=50                                               5\times 15=75

\therefore LHS\neq RHS                                 \therefore LHS\neq RHS

m = 5 is not a solution.                              m = 15 is not a solution.

 

    (b)n+12=20

Putting given values in LHS.

12+12=24                                            20+12=32

\therefore LHS\neq RHS                                  \therefore LHS\neq RHS

n = 12 is not a solution.                                n = 20 is not a solution. 

8+12=20                                              0+12=12

\therefore LHS= RHS                                 \therefore LHS\neq RHS

n = 8  is  a solution.                                      n  =0  is not a solution. 

  

   (c) p-5=5

Putting given values in LHS.

0-5=-5                                            10-5=5

\therefore LHS\neq RHS                                  \therefore LHS= RHS

p =0 is not a solution.                                p = 10 is a solution.

5-5=0                                               -5-5=-10

\therefore LHS\neq RHS                                 \therefore LHS\neq RHS

p = 5 is not  a solution.                              p = -5 is not a solution

 

  (d) \frac{q}{2}=7   

Putting given values in LHS.

 \frac{7}{2}                                                                      \frac{2}{2}=1

\therefore LHS\neq RHS                                  \therefore LHS\neq RHS

q =7 is not a solution.                                q = 2 is not a solution.

\frac{10}{2}=5                                                  \frac{14}{2}=7

\therefore LHS\neq RHS                                 \therefore LHS= RHS

q = 10 is not  a solution.                              q = 14 is a solution.

 

(e) r-4=0

Putting given values in LHS.

4-4=0                                              -4-4=-8

\therefore LHS= RHS                                  \therefore LHS\neq RHS

r =4  is a solution.                                r = -4 is not  a solution.

8-4=4                                                0-4=-4

\therefore LHS\neq RHS                                 \therefore LHS\neq RHS

r = 8 is not  a solution.                              r = 0 is not a solution

 

 (f) x+4=2

Putting given values in LHS.

-2+4=2                                            0+4=4

\therefore LHS= RHS                                  \therefore LHS\neq RHS

 x = -2 is a solution.                                 x = 0 is a solution.

2+4=6                                               4+4=8

\therefore LHS\neq RHS                                 \therefore LHS\neq RHS

 x = 2 is not  a solution.                               x = 4 is not a solution

 

 

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