Math, asked by aikochanmeow78, 1 month ago

Find the value of m if 5^ 2m-1*5^ 1 =2​

Answers

Answered by shagunbaidya994
0

Answer:

This system of equation is of the form

a

1

x+b

1

y+c

1

=0

a

2

x+b

2

y+c

2

=0

where a

1

=2m−1,b

1

=3,c

1

=−5

and a

2

=3,b

2

=n−1 and c

2

=−2

For infinitely many solutions, we must have

a

2

a

1

=

b

2

b

1

=

c

2

c

1

The given system of equations will have infinite number of solutions, if

3

2m−1

=

n−1

3

=

−2

−5

3

2m−1

=

n−1

3

=

2

5

3

2m−1

=

2

5

and

n−1

3

=

2

5

⇒4m−2=15 and 6=5n−5

⇒4m=17 and 5n=11

⇒m=

4

17

and n=

5

11

Hence, the given system of equations will have infinite number of solutions, if m=

4

17

and n=

5

11

.

Answered by dibyadyuti06
2

Answer:

{5}^{2}m - 1 \times {5}^{1}  = 2  \\  25m - 5 = 2 \\ 25m = 2 + 5 \\ 25m  = 7 \\ m =\frac{7}{25}

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